@article{SchroheSchulze1994,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Boundary value problems in Boutet de Monvel{\"i}s algebra for manifolds with conical singularities I},
  year      = {1994},
  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}
}
@article{Schulze1994,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The variable discrete asymptotics in pseudo-differential boundary value problems},
  year      = {1994},
  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{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{SchroheSchulze1995,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Boundary value problems in Boutet de Monvel's algebra for manifolds with conical singularities 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{Schulze1995,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The variable discrete asymptotics in pseudo-differential boundary value problems II},
  year      = {1995},
  language  = {en}
}
@article{SchroheSchulze1995,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Mellin quantization in the cone calculus for Boutet de Monvel{\"i}s algebra},
  year      = {1995},
  language  = {en}
}
@article{Schulze1995,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Transmission algebras on singular spaces with components of different dimensions},
  year      = {1995},
  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{FedosovSchulze1996,
  author    = {Fedosov, Boris V. and Schulze, Bert-Wolfgang},
  title     = {On the index elliptic operators on a cone},
  year      = {1996},
  language  = {en}
}
@article{SchulzeTarchanov1996,
  author    = {Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {Coordinate invariance of the wedge Sobolev spaces = Wedge Sobelev spaces},
  year      = {1996},
  language  = {en}
}
@article{SchulzeSterninSatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Nonstationary problems for Borel-Fuchs type equations},
  year      = {1997},
  language  = {en}
}
@book{SchulzeTarchanov1997,
  author    = {Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {Lefschetz theory on manifolds with edges : introduction},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 08},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {20, [4] S,},
  year      = {1997},
  language  = {en}
}
@unpublished{SchulzeTarkhanov1997,
  author    = {Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {The Riemann-Roch theorem for manifolds with conical singularities},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25051},
  year      = {1997},
  abstract  = {The classical Riemann-Roch theorem is extended to solutions of elliptic equations on manifolds with conical points.},
  language  = {en}
}
@unpublished{SchulzeSterninShatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor},
  title     = {Operator algebras on singular manifolds. I},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25011},
  year      = {1997},
  language  = {en}
}
@unpublished{SchulzeSterninShatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor},
  title     = {On the index of differential operators on manifolds with conical singularities},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-24965},
  year      = {1997},
  abstract  = {The paper contains the proof of the index formula for manifolds with conical points. For operators subject to an additional condition of spectral symmetry, the index is expressed as the sum of multiplicities of spectral points of the conormal symbol (indicial family) and the integral from the Atiyah-Singer form over the smooth part of the manifold. The obtained formula is illustrated by the example of the Euler operator on a two-dimensional manifold with conical singular point.},
  language  = {en}
}
@unpublished{SchulzeSterninShatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor},
  title     = {Nonstationary problems for equations of Borel-Fuchs type},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-24973},
  year      = {1997},
  abstract  = {In the paper, the nonstationary problems for equations of Borel-Fuchs type are investigated. The asymptotic expansion are obtained for different orders of degeneration of operators in question. The approach to nonstationary problems based on the asymptotic theory on abstract algebras is worked out.},
  language  = {en}
}
@unpublished{RabinovichSchulzeTarkhanov1997,
  author    = {Rabinovich, Vladimir and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {A calculus of boundary value problems in domains with Non-Lipschitz Singular Points},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-24957},
  year      = {1997},
  abstract  = {The paper is devoted to pseudodifferential boundary value problems in domains with singular points on the boundary. The tangent cone at a singular point is allowed to degenerate. In particular, the boundary may rotate and oscillate in a neighbourhood of such a point. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to singular points.},
  language  = {en}
}
@unpublished{SchulzeTarkhanov1997,
  author    = {Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {Lefschetz theory on manifolds with edges : introduction},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-24948},
  year      = {1997},
  abstract  = {The aim of this book is to develop the Lefschetz fixed point theory for elliptic complexes of pseudodifferential operators on manifolds with edges. The general Lefschetz theory contains the index theory as a special case, while the case to be studied is much more easier than the index problem. The main topics are: - The calculus of pseudodifferential operators on manifolds with edges, especially symbol structures (inner as well as edge symbols). - The concept of ellipticity, parametrix constructions, elliptic regularity in Sobolev spaces. - Hodge theory for elliptic complexes of pseudodifferential operators on manifolds with edges. - Development of the algebraic constructions for these complexes, such as homotopy, tensor products, duality. - A generalization of the fixed point formula of Atiyah and Bott for the case of simple fixed points. - Development of the fixed point formula also in the case of non-simple fixed points, provided that the complex consists of diferential operarators only. - Investigation of geometric complexes (such as, for instance, the de Rham complex and the Dolbeault complex). Results in this direction are desirable because of both purely mathe matical reasons and applications in natural sciences.},
  language  = {en}
}
@unpublished{FedosovSchulzeTarkhanov1997,
  author    = {Fedosov, Boris and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {The index of elliptic operators on manifolds with conical points},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25096},
  year      = {1997},
  abstract  = {For general elliptic pseudodifferential operators on manifolds with singular points, we prove an algebraic index formula. In this formula the symbolic contributions from the interior and from the singular points are explicitly singled out. For two-dimensional manifolds, the interior contribution is reduced to the Atiyah-Singer integral over the cosphere bundle while two additional terms arise. The first of the two is one half of the 'eta' invariant associated to the conormal symbol of the operator at singular points. The second term is also completely determined by the conormal symbol. The example of the Cauchy-Riemann operator on the complex plane shows that all the three terms may be non-zero.},
  language  = {en}
}
@unpublished{SchulzeSterninShatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor},
  title     = {Operator algebras on singular manifolds. IV, V},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25062},
  year      = {1997},
  language  = {en}
}
@unpublished{NazaikinskiiSchulzeSterninetal.1997,
  author    = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor},
  title     = {A Lefschetz fixed point theorem for manifolds with conical singularities},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25073},
  year      = {1997},
  abstract  = {We establish an Atiyah-Bott-Lefschetz formula for elliptic operators on manifolds with conical singular points.},
  language  = {en}
}
@unpublished{SchulzeSterninShatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor},
  title     = {On general boundary value problems for elliptic equations},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25138},
  year      = {1997},
  abstract  = {We construct a theory of general boundary value problems for differential operators whose symbols do not necessarily satisfy the Atiyah-Bott condition [3] of vanishing of the corresponding obstruction. A condition for these problems to be Fredholm is introduced and the corresponding finiteness theorems are proved.},
  language  = {en}
}
@unpublished{SchulzeNazaikinskiiSterninetal.1997,
  author    = {Schulze, Bert-Wolfgang and Nazaikinskii, Vladimir and Sternin, Boris and Shatalov, Victor},
  title     = {Spectral boundary value problems and elliptic equations on singular manifolds},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25147},
  year      = {1997},
  abstract  = {For elliptic operators on manifolds with boundary, we define spectral boundary value problems, which generalize the Atiyah-Patodi-Singer problem to the case of nonhomogeneous boundary conditions, operators of arbitrary order, and nonself-adjoint conormal symbols. The Fredholm property is proved and equivalence with certain elliptic equations on manifolds with conical singularities is established.},
  language  = {en}
}
@unpublished{NazaikinskiiSchulzeSterninetal.1997,
  author    = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor},
  title     = {Quantization of symplectic transformations on manifolds with conical singularities},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25084},
  year      = {1997},
  abstract  = {The structure of symplectic (canonical) transformations on manifolds with conical singularities is established. The operators associated with these transformations are defined in the weight spaces and their properties investigated.},
  language  = {en}
}
@unpublished{FedosovSchulzeTarkhanov1997,
  author    = {Fedosov, Boris and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {On the index formula for singular surfaces},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25116},
  year      = {1997},
  abstract  = {In the preceding paper we proved an explicit index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points. Apart from the Atiyah-Singer integral, it contains two additional terms, one of the two being the 'eta' invariant defined by the conormal symbol. In this paper we clarify the meaning of the additional terms for differential operators.},
  language  = {en}
}
@book{RabinovichSchulzeTarchanov1997,
  author    = {Rabinovich, Vladimir and Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {A calculus of boundary value problems in domains with Non-Lipschitz singular points},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 09},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {54 S.},
  year      = {1997},
  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}
}
@book{SchulzeSterninSatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {Nonstationary problems for equations of Borel-Fuchs type},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 11},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {34 S.},
  year      = {1997},
  language  = {en}
}
@book{SchulzeSterninSatalov1997,
  author    = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.},
  title     = {On general boundary value problems for elliptic equations},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 35},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {36 S.},
  year      = {1997},
  language  = {en}
}
@book{SchulzeSchrohe1997,
  author    = {Schulze, Bert-Wolfgang and Schrohe, Elmar},
  title     = {Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis" (seit 1992)},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 12},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {61 S.},
  year      = {1997},
  language  = {de}
}
@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}
}
@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{GilSchulzeSeiler1997,
  author    = {Gil, J. B. and Schulze, Bert-Wolfgang and Seiler, J{\"o}rg},
  title     = {Holomorphic operator-valued symbols for edgedegenerate pseudo-differential operators},
  year      = {1997},
  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{SchulzeTarchanov1997,
  author    = {Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.},
  title     = {The index of elliptic operators on manifolds with cups},
  year      = {1997},
  language  = {en}
}
@article{Schulze1997,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Boundary value problems and edges pseudo-differential operators},
  year      = {1997},
  language  = {en}
}
@article{BuchholzSchulze1997,
  author    = {Buchholz, Thilo and Schulze, Bert-Wolfgang},
  title     = {Anisotropic edges pseudo-differential operators withdiscrete asymptotics},
  year      = {1997},
  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}
}
@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{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{SchroheSchulze1997,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {A symbol algebra for pseudodifferential boundary value problems on manifolds with edges},
  year      = {1997},
  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}
}
@unpublished{RabinovichSchulzeTarkhanov1998,
  author    = {Rabinovich, Vladimir and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {Boundary value problems in cuspidal wedges},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25363},
  year      = {1998},
  abstract  = {The paper is devoted to pseudodifferential boundary value problems in domains with cuspidal wedges. Concerning the geometry we even admit a more general behaviour, namely oscillating cuspidal wedges. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to edges.},
  language  = {en}
}
@unpublished{SchulzeTarkhanov1998,
  author    = {Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {Elliptic complexes of pseudodifferential operators on manifolds with edges},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25257},
  year      = {1998},
  abstract  = {On a compact closed manifold with edges live pseudodifferential operators which are block matrices of operators with additional edge conditions like boundary conditions in boundary value problems. They include Green, trace and potential operators along the edges, act in a kind of Sobolev spaces and form an algebra with a wealthy symbolic structure. We consider complexes of Fr{\´e}chet spaces whose differentials are given by operators in this algebra. Since the algebra in question is a microlocalization of the Lie algebra of typical vector fields on a manifold with edges, such complexes are of great geometric interest. In particular, the de Rham and Dolbeault complexes on manifolds with edges fit into this framework. To each complex there correspond two sequences of symbols, one of the two controls the interior ellipticity while the other sequence controls the ellipticity at the edges. The elliptic complexes prove to be Fredholm, i.e., have a finite-dimensional cohomology. Using specific tools in the algebra of pseudodifferential operators we develop a Hodge theory for elliptic complexes and outline a few applications thereof.},
  language  = {en}
}
@unpublished{BuchholzSchulze1998,
  author    = {Buchholz, Thilo and Schulze, Bert-Wolfgang},
  title     = {Volterra operators and parabolicity : anisotropic pseudo-differential operators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25231},
  year      = {1998},
  abstract  = {Parabolic equations on manifolds with singularities require a new calculus of anisotropic pseudo-differential operators with operator-valued symbols. The paper develops this theory along the lines of sn abstract wedge calculus with strongly continuous groups of isomorphisms on the involved Banach spaces. The corresponding pseodo-diferential operators are continuous in anisotropic wedge Sobolev spaces, and they form an alegbra. There is then introduced the concept of anisotropic parameter-dependent ellipticity, based on an order reduction variant of the pseudo-differential calculus. The theory is appled to a class of parabolic differential operators, and it is proved the invertibility in Sobolev spaces with exponential weights at infinity in time direction.},
  language  = {en}
}
@unpublished{SchulzeTarkhanov1998,
  author    = {Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {Euler solutions of pseudodifferential equations},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25211},
  year      = {1998},
  abstract  = {We consider a homogeneous pseudodifferential equation on a cylinder C = IR x X over a smooth compact closed manifold X whose symbol extends to a meromorphic function on the complex plane with values in the algebra of pseudodifferential operators over X. When assuming the symbol to be independent on the variable t element IR, we show an explicit formula for solutions of the equation. Namely, to each non-bijectivity point of the symbol in the complex plane there corresponds a finite-dimensional space of solutions, every solution being the residue of a meromorphic form manufactured from the inverse symbol. In particular, for differential equations we recover Euler's theorem on the exponential solutions. Our setting is model for the analysis on manifolds with conical points since C can be thought of as a 'stretched' manifold with conical points at t = -infinite and t = infinite.},
  language  = {en}
}