@article{RungrottheeraSchulze2014,
  author    = {Rungrottheera, Wannarut and Schulze, Bert-Wolfgang},
  title     = {Weighted spaces on corner manifolds},
  series = {Complex variables and elliptic equations},
  volume    = {59},
  journal   = {Complex variables and elliptic equations},
  number    = {12},
  publisher = {Routledge, Taylor \& Francis Group},
  address   = {Abingdon},
  issn      = {1747-6933},
  doi       = {10.1080/17476933.2013.876416},
  pages     = {1706 -- 1738},
  year      = {2014},
  abstract  = {We study spaces on manifolds with double weights and iterated discrete and continuous asymptotics, and their relationship with corner pseudo-differential operators.},
  language  = {en}
}
@article{ChangMahmoudiSchulze2018,
  author    = {Chang, Der-Chen and Mahmoudi, Mahdi Hedayat and Schulze, Bert-Wolfgang},
  title     = {Volterra operators in the edge-calculus},
  series = {Analysis and Mathematical Physics},
  volume    = {8},
  journal   = {Analysis and Mathematical Physics},
  number    = {4},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1664-2368},
  doi       = {10.1007/s13324-018-0238-4},
  pages     = {551 -- 570},
  year      = {2018},
  abstract  = {We study the Volterra property of a class of anisotropic pseudo-differential operators on R x B for a manifold B with edge Y and time-variable t. This exposition belongs to a program for studying parabolicity in such a situation. In the present consideration we establish non-smoothing elements in a subalgebra with anisotropic operator-valued symbols of Mellin type with holomorphic symbols in the complex Mellin covariable from the cone theory, where the covariable t of t extends to symbolswith respect to t to the lower complex v half-plane. The resulting space ofVolterra operators enlarges an approach of Buchholz (Parabolische Pseudodifferentialoperatoren mit operatorwertigen Symbolen. Ph. D. thesis, Universitat Potsdam, 1996) by necessary elements to a new operator algebra containing Volterra parametrices under an appropriate condition of anisotropic ellipticity. Our approach avoids some difficulty in choosing Volterra quantizations in the edge case by generalizing specific achievements from the isotropic edge-calculus, obtained by Seiler (Pseudodifferential calculus on manifolds with non-compact edges, Ph. D. thesis, University of Potsdam, 1997), see also Gil et al. (in: Demuth et al (eds) Mathematical research, vol 100. Akademic Verlag, Berlin, pp 113-137, 1997; Osaka J Math 37: 221-260, 2000).},
  language  = {en}
}
@book{BuchholzSchulze1998,
  author    = {Buchholz, Thilo and Schulze, Bert-Wolfgang},
  title     = {Volterra operators and parabolicity : anisotropic pseudo-differential operators},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1998, 11},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {57 S.},
  year      = {1998},
  language  = {en}
}
@book{SchulzeQin2005,
  author    = {Schulze, Bert-Wolfgang and Qin, Yuming},
  title     = {Uniform compact attractors for a nonlinear non-autonomous equation of viscoelasticity},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {53 S.},
  year      = {2005},
  language  = {en}
}
@article{Schulze1995,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Transmission algebras on singular spaces with components of different dimensions},
  year      = {1995},
  language  = {en}
}
@book{Schulze2003,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Toeplitz operators, and ellipticity of boundary value problems with global projection conditions},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {66 S.},
  year      = {2003},
  language  = {en}
}
@book{HarutjunjanSchulze2004,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {The zaremba problem with singular interfaces as a corner boundary value problem},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {48 S.},
  year      = {2004},
  language  = {en}
}
@article{HarutyunyanSchulze2006,
  author    = {Harutyunyan, Gohar and Schulze, Bert-Wolfgang},
  title     = {The Zaremba problem with singular interfaces as a corner boundary value problem},
  series = {Potential analysis : an international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis},
  volume    = {25},
  journal   = {Potential analysis : an international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis},
  publisher = {Springer},
  address   = {Dordrecht},
  issn      = {0926-2601},
  doi       = {10.1007/s11118-006-9020-6},
  pages     = {327 -- 369},
  year      = {2006},
  abstract  = {We study mixed boundary value problems for an elliptic operator A on a manifold X with boundary Y, i.e., Au = f in int X, T (+/-) u = g(+/-) on int Y+/-, where Y is subdivided into subsets Y+/- with an interface Z and boundary conditions T+/- on Y+/- that are Shapiro-Lopatinskij elliptic up to Z from the respective sides. We assume that Z subset of Y is a manifold with conical singularity v. As an example we consider the Zaremba problem, where A is the Laplacian and T- Dirichlet, T+ Neumann conditions. The problem is treated as a corner boundary value problem near v which is the new point and the main difficulty in this paper. Outside v the problem belongs to the edge calculus as is shown in Bull. Sci. Math. ( to appear). With a mixed problem we associate Fredholm operators in weighted corner Sobolev spaces with double weights, under suitable edge conditions along Z {v} of trace and potential type. We construct parametrices within the calculus and establish the regularity of solutions.},
  language  = {en}
}
@book{DinesHarutjunjanSchulze2003,
  author    = {Dines, Nicoleta and Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {The Zaremba problem in edge sobolev spaces},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {38 S.},
  year      = {2003},
  language  = {en}
}
@article{Schulze1995,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The variable discrete asymptotics in pseudo-differential boundary value problems II},
  year      = {1995},
  language  = {en}
}
@article{Schulze1995,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The variable discrete asymptotics in pseudo-differential boundary value problems II},
  year      = {1995},
  language  = {en}
}
@article{Schulze1994,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The variable discrete asymptotics in pseudo-differential boundary value problems},
  year      = {1994},
  language  = {en}
}
@article{Schulze1999,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The trajectory attractor for a nonlinear elliptic system in a cylindrical domain with piecewise smooth boundary},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {37 S.},
  year      = {1999},
  language  = {en}
}
@book{Schulze2006,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The structure of operators on manifolds with polyhedral singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {131 S.},
  year      = {2006},
  language  = {en}
}
@article{SchulzeTarchanov1999,
  author    = {Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {The Riemann-Roch theorem for manifolds with conical singularities},
  year      = {1999},
  language  = {en}
}
@book{SchulzeTarchanov1997,
  author    = {Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {The Rieman-Roch theorem for manifolds with conical singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 18},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {37 S.},
  year      = {1997},
  language  = {en}
}
@article{HarutjunjanSchulze2006,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {The relative index for corner singularities},
  issn      = {0378-620X},
  doi       = {10.1007/s00020-005-1367-3},
  year      = {2006},
  abstract  = {We study pseudo-differential operators on a cylinder R x B where B has conical singularities. Configurations of that kind are the local model of corner singularities with cross section B. Operators in our calculus are assumed to have symbols a which are meromorphic in the complex covariable with values in the algebra of all cone operators on B. We show an explicit formula for solutions of the homogeneous equation if a is independent of the axial variable t is an element of R. Each non-bijectivity point of the symbol in the complex plane corresponds to a finite-dimensional space of solutions. Moreover, we give a relative index formula},
  language  = {en}
}
@book{MartinSchulze2005,
  author    = {Martin, Calin-Iulian and Schulze, Bert-Wolfgang},
  title     = {The Quantisation of edge symbols},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {30 S.},
  year      = {2005},
  language  = {en}
}
@article{SchulzeWei2014,
  author    = {Schulze, Bert-Wolfgang and Wei, Y.},
  title     = {The Mellin-edge quantisation for corner operators},
  series = {Complex analysis and operator theory},
  volume    = {8},
  journal   = {Complex analysis and operator theory},
  number    = {4},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1661-8254},
  doi       = {10.1007/s11785-013-0289-3},
  pages     = {803 -- 841},
  year      = {2014},
  abstract  = {We establish a quantisation of corner-degenerate symbols, here called Mellin-edge quantisation, on a manifold with second order singularities. The typical ingredients come from the "most singular" stratum of which is a second order edge where the infinite transversal cone has a base that is itself a manifold with smooth edge. The resulting operator-valued amplitude functions on the second order edge are formulated purely in terms of Mellin symbols taking values in the edge algebra over . In this respect our result is formally analogous to a quantisation rule of (Osaka J. Math. 37:221-260, 2000) for the simpler case of edge-degenerate symbols that corresponds to the singularity order 1. However, from the singularity order 2 on there appear new substantial difficulties for the first time, partly caused by the edge singularities of the cone over that tend to infinity.},
  language  = {en}
}
@book{NazajkinskijSavinSchulzeetal.2004,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris},
  title     = {The index problem on manifolds with singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {27 S.},
  year      = {2004},
  language  = {en}
}
@article{NazajkinskijSterninSchulze1999,
  author    = {Nazajkinskij, Vladimir E. and Sternin, Boris Ju. and Schulze, Bert-Wolfgang},
  title     = {The index of quantized contact transformations on manifolds with conical singularities},
  issn      = {0002-3264},
  year      = {1999},
  language  = {en}
}
@book{NazajkinskijSchulzeSternin1998,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.},
  title     = {The index of quantized contact transformations on manifolds with conical singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1998, 16},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {31 S.},
  year      = {1998},
  language  = {en}
}
@book{FedosovSchulzeTarchanov1998,
  author    = {Fedosov, Boris V. and Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {The index of higher order operators on singular surfaces},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1998, 03},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {27 S.},
  year      = {1998},
  language  = {en}
}
@article{SchulzeTarchanov1997,
  author    = {Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {The index of elliptic operators on manifolds with cups},
  year      = {1997},
  language  = {en}
}
@book{FedosovSchulzeTarchanov1997,
  author    = {Fedosov, Boris V. and Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {The index of elliptic operators on manifolds with conical points},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 24},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {38 S.},
  year      = {1997},
  language  = {en}
}
@article{FedosovSchulzeTarchanov1999,
  author    = {Fedosov, Boris V. and Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {The index of elliptic operators on manifolds with conical points},
  year      = {1999},
  language  = {en}
}
@book{SchulzeSavinSternin1999,
  author    = {Schulze, Bert-Wolfgang and Savin, Anton and Sternin, Boris Ju.},
  title     = {The homotopy classification and the index of boundary value problems for general elliptic operators},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {27 S. : graph. Darst.},
  year      = {1999},
  language  = {en}
}
@inproceedings{RungrottheeraChangSchulze2020,
  author    = {Rungrottheera, Wannarut and Chang, Der-Chen and Schulze, Bert-Wolfgang},
  title     = {The edge calculus of singularity order >3},
  series = {Journal of nonlinear and convex analysis : an international journal},
  volume    = {21},
  booktitle = {Journal of nonlinear and convex analysis : an international journal},
  number    = {2},
  publisher = {Yokohama Publishers},
  address   = {Yokohama},
  issn      = {1345-4773},
  pages     = {387 -- 401},
  year      = {2020},
  abstract  = {We study Mellin pseudo-differential algebras on singular straight cones and manifolds with singularity of order >= 3. Those are necessary to express parametrices of elliptic differential operators with a corresponding cornerdegenerate behavior, and we obtain regularity in weighted spaces.},
  language  = {en}
}
@article{ChangHabalSchulze2014,
  author    = {Chang, Der-Chen and Habal, Nadia and Schulze, Bert-Wolfgang},
  title     = {The edge algebra structure of the Zaremba problem},
  series = {Journal of pseudo-differential operators and applications},
  volume    = {5},
  journal   = {Journal of pseudo-differential operators and applications},
  number    = {1},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1662-9981},
  doi       = {10.1007/s11868-013-0088-7},
  pages     = {69 -- 155},
  year      = {2014},
  abstract  = {We study mixed boundary value problems, here mainly of Zaremba type for the Laplacian within an edge algebra of boundary value problems. The edge here is the interface of the jump from the Dirichlet to the Neumann condition. In contrast to earlier descriptions of mixed problems within such an edge calculus, cf. (Harutjunjan and Schulze, Elliptic mixed, transmission and singular crack problems, 2008), we focus on new Mellin edge quantisations of the Dirichlet-to-Neumann operator on the Neumann side of the boundary and employ a pseudo-differential calculus of corresponding boundary value problems without the transmission property at the interface. This allows us to construct parametrices for the original mixed problem in a new and transparent way.},
  language  = {en}
}
@book{SchulzeSeiler2001,
  author    = {Schulze, Bert-Wolfgang and Seiler, J{\"o}rg},
  title     = {The edge algebra structure of boundary value problems},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {52 S.},
  year      = {2001},
  language  = {en}
}
@book{KrainerSchulze2004,
  author    = {Krainer, Thomas and Schulze, Bert-Wolfgang},
  title     = {The Conormal symbolic structure of corner boundary value problems},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {47 S.},
  year      = {2004},
  language  = {en}
}
@article{NazajkinskijSchulzeSterninetal.1999,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {The Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities},
  year      = {1999},
  language  = {en}
}
@article{NazajkinskijSchulzeSterninetal.1999,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {The Atiyah-Bott-Lefschetz formula for elliptic operators on manifolds with conical singularities},
  issn      = {0002-3264},
  year      = {1999},
  language  = {en}
}
@book{CalvoMartinSchulze2004,
  author    = {Calvo, D. and Martin, Calin-Iulian and Schulze, Bert-Wolfgang},
  title     = {Symbolic Structures on Corner Manifolds},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {18 S.},
  year      = {2004},
  language  = {en}
}
@book{KapanadzeSchulze2001,
  author    = {Kapanadze, David and Schulze, Bert-Wolfgang},
  title     = {Symbolic calcullus for boundary value problems on manifolds with edges},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {39 S.},
  year      = {2001},
  language  = {en}
}
@book{SchulzeTarkhanov2003,
  author    = {Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {Symbol algebra for manifolds with cuspidal singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {37 S.},
  year      = {2003},
  language  = {en}
}
@book{NazajkinskijSchulzeSternin2002,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris},
  title     = {Surgery and the relative index theorem for families of elliptic operators},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {21 S.},
  year      = {2002},
  language  = {en}
}
@article{SchulzeSterninSatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Structure rings of singularities and differential equations},
  year      = {1997},
  language  = {en}
}
@article{NazajkinskijSchulzeSterninetal.1998,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Spectral boundary value problems and elliptic equations on singular manifolds},
  year      = {1998},
  language  = {en}
}
@article{NazajkinskijSchulzeSterninetal.1999,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Spectral boundary value problems and elliptic equations on manifolds with singularities},
  issn      = {0002-3264},
  year      = {1999},
  language  = {en}
}
@book{JaianiSchulze2004,
  author    = {Jaiani, George V. and Schulze, Bert-Wolfgang},
  title     = {Some degenerate elliptic systems and applications to cousped plates},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {33 S.},
  year      = {2004},
  language  = {en}
}
@article{ChangHedayatMahmoudiSchulze2017,
  author    = {Chang, Der-Chen and Hedayat Mahmoudi, Mahdi and Schulze, Bert-Wolfgang},
  title     = {Singular degenerate operators},
  series = {Applicable analysis : an international journal},
  volume    = {96},
  journal   = {Applicable analysis : an international journal},
  number    = {14},
  publisher = {Routledge, Taylor \& Francis Group},
  address   = {Abingdon},
  issn      = {0003-6811},
  doi       = {10.1080/00036811.2017.1336546},
  pages     = {2434 -- 2456},
  year      = {2017},
  abstract  = {We outline some simplified and more general method for constructing parametrices on higher singular spaces. We also outline basic ideas on operators on manifolds with conical or edge singularities.},
  language  = {en}
}
@misc{FladHarutyunyanSchulze2015,
  author    = {Flad, Heinz-J{\"u}rgen and Harutyunyan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Singular analysis and coupled cluster theory},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-102306},
  pages     = {31530 -- 31541},
  year      = {2015},
  abstract  = {The primary motivation for systematic bases in first principles electronic structure simulations is to derive physical and chemical properties of molecules and solids with predetermined accuracy. This requires a detailed understanding of the asymptotic behaviour of many-particle Coulomb systems near coalescence points of particles. Singular analysis provides a convenient framework to study the asymptotic behaviour of wavefunctions near these singularities. In the present work, we want to introduce the mathematical framework of singular analysis and discuss a novel asymptotic parametrix construction for Hamiltonians of many-particle Coulomb systems. This corresponds to the construction of an approximate inverse of a Hamiltonian operator with remainder given by a so-called Green operator. The Green operator encodes essential asymptotic information and we present as our main result an explicit asymptotic formula for this operator. First applications to many-particle models in quantum chemistry are presented in order to demonstrate the feasibility of our approach. The focus is on the asymptotic behaviour of ladder diagrams, which provide the dominant contribution to shortrange correlation in coupled cluster theory. Furthermore, we discuss possible consequences of our asymptotic analysis with respect to adaptive wavelet approximation.},
  language  = {en}
}
@article{FladHarutyunyanSchulze2015,
  author    = {Flad, Heinz-J{\"u}rgen and Harutyunyan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Singular analysis and coupled cluster theory},
  series = {Physical chemistry, chemical physics : a journal of European Chemical Societies},
  volume    = {17},
  journal   = {Physical chemistry, chemical physics : a journal of European Chemical Societies},
  number    = {47},
  publisher = {Royal Society of Chemistry},
  address   = {Cambridge},
  issn      = {1463-9076},
  doi       = {10.1039/c5cp01183c},
  pages     = {31530 -- 31541},
  year      = {2015},
  abstract  = {The primary motivation for systematic bases in first principles electronic structure simulations is to derive physical and chemical properties of molecules and solids with predetermined accuracy. This requires a detailed understanding of the asymptotic behaviour of many-particle Coulomb systems near coalescence points of particles. Singular analysis provides a convenient framework to study the asymptotic behaviour of wavefunctions near these singularities. In the present work, we want to introduce the mathematical framework of singular analysis and discuss a novel asymptotic parametrix construction for Hamiltonians of many-particle Coulomb systems. This corresponds to the construction of an approximate inverse of a Hamiltonian operator with remainder given by a so-called Green operator. The Green operator encodes essential asymptotic information and we present as our main result an explicit asymptotic formula for this operator. First applications to many-particle models in quantum chemistry are presented in order to demonstrate the feasibility of our approach. The focus is on the asymptotic behaviour of ladder diagrams, which provide the dominant contribution to short-range correlation in coupled cluster theory. Furthermore, we discuss possible consequences of our asymptotic analysis with respect to adaptive wavelet approximation.},
  language  = {en}
}
@article{SchulzeSterninSatalov1995,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Resurgent analysis in the theory of differential equations with singularities},
  year      = {1995},
  language  = {en}
}
@article{SchulzeSterninSatalov1994,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Resurgent analysis and differential equations with singularities},
  year      = {1994},
  language  = {en}
}
@book{SchulzeSlapunovTarchanov1999,
  author    = {Schulze, Bert-Wolfgang and Slapunov, Aleksandr A. and Tarchanov, Nikolaj N.},
  title     = {Regularisation of mixed boundary problems},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {32 S.},
  year      = {1999},
  language  = {en}
}
@article{HarutjunjanSchulze2004,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Reduction of orders in boundary value problems without transmission property},
  issn      = {0025-5645},
  year      = {2004},
  abstract  = {Given an algebra of pseudo-differential operators on a manifold, an elliptic element is said to be a reduction of orders, if it induces isomorphisms of Sobolev spaces with a corresponding shift of smoothness. Reductions of orders on a manifold with boundary refer to boundary value problems. We employ specific smooth symbols of arbitrary real orders and with parameters, and we show that the associated operators induce isomorphisms between Sobolev spaces on a given manifold with boundary. Such operators for integer orders have the transmission property and belong to the calculus of Boutet de Monvel [1], cf. also [9]. In general, they fit to the algebra of boundary value problems without the transmission property in the sense of [17] and [24]. Order reducing elements of the present kind are useful for constructing parametrices of mixed elliptic problems. We show that order reducing symbols have the Volterra property and are parabolic of anisotropy 1; analogous relations are formulated for arbitrary anisotropies. We then investigate parameter-dependent operators, apply a kernel cut-off construction with respect to the parameter and show that corresponding holomorphic operator-valued Mellin symbols reduce orders in weighted Sobolev spaces on a cone with boundary. We finally construct order reducing operators on a compact manifold with conical singularities and boundary},
  language  = {en}
}
@book{HarutjunjanSchulze2002,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Reduction of Orders in Boundary Value Problems without the Transmission Proberty},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {23 S.},
  year      = {2002},
  language  = {en}
}
@article{NazajkinskijSchulzeSterninetal.1999,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Quantizational of canonical transformations on manifolds with conical singularities},
  issn      = {0002-3264},
  year      = {1999},
  language  = {en}
}
@book{NazajkinskijSchulzeSternin1999,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.},
  title     = {Quantization of Lagrangian modules},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {27 S.},
  year      = {1999},
  language  = {en}
}
@book{NazajkinskijSchulzeSternin1999,
  author    = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.},
  title     = {Quantization and the wave packet transform},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {63 S.},
  year      = {1999},
  language  = {en}
}
@article{NazajkinskijSavinSterninetal.2005,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang},
  title     = {Pseudodifferential operators on manifolds with singularities and localization},
  issn      = {1064-5624},
  year      = {2005},
  language  = {en}
}
@article{NazajkinskijSavinSterninetal.2004,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang},
  title     = {Pseudodifferential operators on manifolds with edges},
  issn      = {1064-5624},
  year      = {2004},
  language  = {en}
}
@book{SchulzeTarchanov2000,
  author    = {Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {Pseudodifferential operators on manifolds with corners},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {94 S.},
  year      = {2000},
  language  = {en}
}
@book{NazajkinskijSavinSchulzeetal.2003,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris},
  title     = {Pseudodifferential Operators},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {25 S.},
  year      = {2003},
  language  = {en}
}
@article{SchulzeTarchanov1998,
  author    = {Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {Pseudodifferential calculus on manifolds with singular points},
  issn      = {1311- 0454},
  year      = {1998},
  language  = {en}
}
@book{SchulzeSeiler2002,
  author    = {Schulze, Bert-Wolfgang and Seiler, J{\"o}rg},
  title     = {Pseudodifferential boundary value problems with global projection conditions},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {37 S.},
  year      = {2002},
  language  = {en}
}
@book{EgorovSchulze1997,
  author    = {Egorov, Jurij V. and Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential operators, singularities, applicatons},
  series = {Operator theory},
  volume    = {93},
  journal   = {Operator theory},
  publisher = {Birkh{\"a}user},
  address   = {Basel},
  isbn      = {3-7643-5484-4},
  pages     = {XII; 349 S.},
  year      = {1997},
  language  = {en}
}
@article{Schulze1994,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential operators, ellipticity and asymptotics on manifolds with edges},
  year      = {1994},
  language  = {en}
}
@article{DorschfeldtSchulze1994,
  author    = {Dorschfeldt, Christoph and Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential operators with operator-valued symbols in the Mellin-edge-approach},
  year      = {1994},
  language  = {en}
}
@book{KapanadzeSchulze2000,
  author    = {Kapanadze, David and Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential Crack Theory},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {62 S.},
  year      = {2000},
  language  = {en}
}
@book{Schulze2006,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential calculus on Manifolds with geometric singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {60 S.},
  year      = {2006},
  language  = {en}
}
@article{DorschfeldtGriemeSchulze1997,
  author    = {Dorschfeldt, Christoph and Grieme, Ulrich and Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential calculus in the Fourieredge approach on non-compact manifolds},
  year      = {1997},
  language  = {en}
}
@book{Schulze1999,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential calculus and applications to non-smooth configurations},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {S. i - ii, 135 S.},
  year      = {1999},
  language  = {en}
}
@book{Schulze1994,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential boundary value problems, conical singularities, and asymptotics},
  series = {Mathematical topics},
  volume    = {4},
  journal   = {Mathematical topics},
  publisher = {Akad.-Verl.},
  address   = {Berlin},
  isbn      = {3-05-501597-5},
  pages     = {580 S.},
  year      = {1994},
  language  = {en}
}
@article{ChangViahmoudiSchulze2016,
  author    = {Chang, D. -C. and Viahmoudi, M. Hedayat and Schulze, Bert-Wolfgang},
  title     = {PSEUDO-DIFFERENTIAL ANALYSIS WITH TWISTED SYMBOLIC STRUCTURE},
  series = {Journal of nonlinear and convex analysis : an international journal},
  volume    = {17},
  journal   = {Journal of nonlinear and convex analysis : an international journal},
  publisher = {Yokohama Publishers},
  address   = {Yokohama},
  issn      = {1345-4773},
  pages     = {1889 -- 1937},
  year      = {2016},
  abstract  = {This paper is devoted to pseudo-differential operators and new applications. We establish necessary extensions of the standard calculus to specific classes of operator-valued symbols occurring in principal symbolic hierarchies of operators on manifolds with singularities or stratified spaces.},
  language  = {en}
}
@article{HarutjunjanSchulze2004,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Parametrices of mixed elliptic problems},
  issn      = {0025-584X},
  year      = {2004},
  abstract  = {Mixed elliptic problems for differential operators A in a domain Q with smooth boundary Y are studied in the form Au = f in Omega, T+/-u = g+/- on Y+/-, where Y+/- subset of Y are manifolds with a common boundary Z, such that Y- boolean OR Y+ = Y and Y- boolean AND Y+ = z, with boundary conditions T+/- on Y+/- (with smooth coefficients up to Z from the respective side) satisfying the Shapiro-Lopatinskij condition. We consider such problems in standard Sobolev spaces and characterise natural extra conditions on the interface Z with an analogue of Shapiro-Lopatinskij ellipticity for an associated transmission problem on the boundary; then the extended operator is Fredholm. The transmission operators on the boundary with respect to Z belong to a complete pseudo-differential calculus, a modification of the algebra of boundary value problems without the transmission property. We construct parametrices of elliptic elements in that calculus, and we obtain parametrices of the original mixed problems under additional conditions on the interface. We consider the Zaremba problem and other mixed problems for the Laplace operator, determine the number of extra conditions and calculate the index of associated Fredholm operators. (C) 2004 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim},
  language  = {en}
}
@article{RungrottheeraLyuSchulze2018,
  author    = {Rungrottheera, Wannarut and Lyu, Xiaojing and Schulze, Bert-Wolfgang},
  title     = {Parameter-dependent edge calculus and corner parametrices},
  series = {Journal of nonlinear and convex analysis : an international journal},
  volume    = {19},
  journal   = {Journal of nonlinear and convex analysis : an international journal},
  number    = {12},
  publisher = {Yokohama Publishers},
  address   = {Yokohama},
  issn      = {1345-4773},
  pages     = {2021 -- 2051},
  year      = {2018},
  abstract  = {Let B be a compact manifold with smooth edge of dimension > 0. We study the interplay between parameter-dependent edge algebra algebra on B and operator families belonging to the corner calculus, and we characterize parametrices in the corner case.},
  language  = {en}
}
@book{OliaroSchulze2002,
  author    = {Oliaro, A. and Schulze, Bert-Wolfgang},
  title     = {Parameter-dependent Boundary value problems on manifolds with edges},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {49 S.},
  year      = {2002},
  language  = {en}
}
@book{AlbeverioDemuthSchroheetal.2002,
  author    = {Albeverio, Sergio and Demuth, Michael and Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Parabolicity, volterra calculus, and conical singularities : a volume of advances in partial differential equations},
  series = {Operator theory : advances and applications},
  volume    = {138},
  journal   = {Operator theory : advances and applications},
  publisher = {Birkh{\"a}user Verl.},
  address   = {Basel},
  isbn      = {3-7643-6906-x},
  pages     = {358 S.},
  year      = {2002},
  language  = {en}
}
@article{LyuQianSchulze2015,
  author    = {Lyu, Xiaojing and Qian, Tao and Schulze, Bert-Wolfgang},
  title     = {Order filtrations of the edge algebra},
  series = {Journal of pseudo-differential operators and applications},
  volume    = {6},
  journal   = {Journal of pseudo-differential operators and applications},
  number    = {3},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1662-9981},
  doi       = {10.1007/s11868-015-0126-8},
  pages     = {279 -- 305},
  year      = {2015},
  abstract  = {By edge algebra we understand a pseudo-differential calculus on a manifold with edge. The operators have a two-component principal symbolic hierarchy which determines operators up to lower order terms. Those belong to a filtration of the corresponding operator spaces. We give a new characterisation of this structure, based on an alternative representation of edge amplitude functions only containing holomorphic edge-degenerate Mellin symbols.},
  language  = {en}
}
@book{Schulze2001,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Operators with symbol hierarchies and iterated asymptotics},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {53 S.},
  year      = {2001},
  language  = {en}
}
@book{KapanadzeSchulzeSeiler2006,
  author    = {Kapanadze, David and Schulze, Bert-Wolfgang and Seiler, J{\"o}rg},
  title     = {Operators with singular trace conditions on a manifold with edges},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {33 S.},
  year      = {2006},
  language  = {en}
}
@book{AbedSchulze2008,
  author    = {Abed, Jamil and Schulze, Bert-Wolfgang},
  title     = {Operators with Corner-degenerate Symbols},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {47 S.},
  year      = {2008},
  language  = {en}
}
@book{CalvoSchulze2005,
  author    = {Calvo, D. and Schulze, Bert-Wolfgang},
  title     = {Operators on Corner Manifolds with Exit to Infinity},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {48 S.},
  year      = {2005},
  language  = {en}
}
@article{Schulze2001,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Operator algebras with symbol hierarchies on manifolds with singularities},
  year      = {2001},
  language  = {en}
}
@book{Schulze1999,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Operator algebras with symbol hierarchies on manifolds with singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {31 S.},
  year      = {1999},
  language  = {en}
}
@article{SchulzeSterninSatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Operator algebras associated with resurgent transforms and differential equations on manifolds with singularities},
  year      = {1997},
  language  = {en}
}
@book{KrainerSchulze2000,
  author    = {Krainer, Thomas and Schulze, Bert-Wolfgang},
  title     = {On the inverse of parabolic systems of partial differential equation of german form in an infinite space-time cylinder : Charpters III - V},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {220 S.},
  year      = {2000},
  language  = {en}
}
@book{KrainerSchulze2001,
  author    = {Krainer, Thomas and Schulze, Bert-Wolfgang},
  title     = {On the inverse of parabolic systems of partial differential equation of general form in an infinite space-time cylinder : Chapters VI - VII},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {220 S.},
  year      = {2001},
  language  = {en}
}
@book{KrainerSchulze2001,
  author    = {Krainer, Thomas and Schulze, Bert-Wolfgang},
  title     = {On the inverse of parabolic systems of partial differential equation of general form in an infinite space-time cylinder : Chapters I - II},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {220 S.},
  year      = {2001},
  language  = {en}
}
@article{SavinSchulzeSternin1999,
  author    = {Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris Ju.},
  title     = {On the invariant index formulas for spectral boundary value problems},
  year      = {1999},
  language  = {en}
}
@book{SavinSchulzeSternin1998,
  author    = {Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris Ju.},
  title     = {On the invariant index formulas for spectral boundary value problems},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1998, 18b},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {23 S.},
  year      = {1998},
  language  = {en}
}
@article{FedosovSchulzeTarkhanov2004,
  author    = {Fedosov, Boris and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {On the index theorem for symplectic orbifolds},
  issn      = {0373-0956},
  year      = {2004},
  abstract  = {We give an explicit construction of the trace on the algebra of quantum observables on a symplectiv orbifold and propose an index formula},
  language  = {en}
}
@article{FedosovSchulzeTarchanov1998,
  author    = {Fedosov, Boris V. and Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {On the index of elliptice operators on a wedge},
  year      = {1998},
  language  = {en}
}
@article{NazajkinskijSavinSterninetal.2005,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang},
  title     = {On the index of elliptic operators on manifolds with edges},
  year      = {2005},
  abstract  = {Necessary and sufficient conditions for the representation of the index of elliptic operators on manifolds with edges in the form of the sum of homotopy invariants of symbols on the smooth stratum and on the edge are found. An index formula is obtained for elliptic operators on manifolds with edges under symmetry conditions with respect to the edge covariables},
  language  = {en}
}
@article{SchulzeSterninSatalov1999,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {On the index of elliptic operators on manifolds with conical singularities},
  issn      = {0002-3264},
  year      = {1999},
  language  = {en}
}
@article{NazajkinskijSavinSterninetal.2004,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang},
  title     = {On the index of differential operators on manifolds with edges},
  issn      = {1064-5624},
  year      = {2004},
  language  = {en}
}
@book{SchulzeSterninSatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {On the index of differential operators on manifolds with conical singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 10},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {37 S.},
  year      = {1997},
  language  = {en}
}
@article{SchulzeSterninSatalov1998,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {On the index of differential operators on manifolds with conical singularities},
  year      = {1998},
  language  = {en}
}
@book{FedosovSchulzeTarchanov1997,
  author    = {Fedosov, Boris V. and Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {On the index formula for singular surfaces},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 31},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {27 S.},
  year      = {1997},
  language  = {en}
}
@article{FedosovSchulzeTarchanov1999,
  author    = {Fedosov, Boris V. and Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {On the index formula for singular surfaces},
  year      = {1999},
  language  = {en}
}
@article{FedosovSchulze1996,
  author    = {Fedosov, Boris V. and Schulze, Bert-Wolfgang},
  title     = {On the index elliptic operators on a cone},
  year      = {1996},
  language  = {en}
}
@book{SchulzeNazajkinskijSternin1999,
  author    = {Schulze, Bert-Wolfgang and Nazajkinskij, Vladimir E. and Sternin, Boris Ju.},
  title     = {On the homotopy classification of elliptic operators on manifolds with singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {22 S. : graph. Darst.},
  year      = {1999},
  language  = {en}
}
@book{NazajkinskijSavinSchulzeetal.2004,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris},
  title     = {On the homotopy classification of elliptic operators on manifolds with edges},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {26 S.},
  year      = {2004},
  language  = {en}
}
@book{PaneahSchulze1998,
  author    = {Paneah, Boris and Schulze, Bert-Wolfgang},
  title     = {On the existence of smooth solutions of the Dirichlet problem for hyperbolic differential equations},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1998, 05},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {11 S.},
  year      = {1998},
  language  = {en}
}
@article{NazajkinskijSavinSterninetal.2004,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang},
  title     = {On the existence of elliptic problems on manifolds with edges},
  issn      = {1064-5624},
  year      = {2004},
  language  = {en}
}
@book{EgorovKondratievSchulze2004,
  author    = {Egorov, Yu. and Kondratiev, V. A. and Schulze, Bert-Wolfgang},
  title     = {On the completeness of root functions of elliptic boundary problems in a domain with conical points on the boundary},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {21 S.},
  year      = {2004},
  language  = {en}
}
@article{SchulzeSterninSatalov1998,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {On some global aspects of the theory of partial differential equations on manifolds with singularities},
  year      = {1998},
  language  = {en}
}