@book{SchroheSeiler2002,
  author    = {Schrohe, Elmar and Seiler, J{\"o}rg},
  title     = {The resolvent of closed extensions of cone differential 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     = {28 S.},
  year      = {2002},
  language  = {en}
}
@unpublished{Schrohe2000,
  author    = {Schrohe, Elmar},
  title     = {A short introduction to Boutet de Monvel's calculus},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25696},
  year      = {2000},
  abstract  = {This paper provides an introduction to Boutet de Monvel's calculus on the half-space IRn (positiv) in the framework of a pseudodifferential calculus with operator-valued symbols.},
  language  = {en}
}
@misc{Schrohe1998,
  author    = {Schrohe, Elmar},
  title     = {Wloka, J. T. [u.a.], Boundary value problems for eliptic systems},
  year      = {1998},
  language  = {en}
}
@article{Schrohe1997,
  author    = {Schrohe, Elmar},
  title     = {Noncommutative residue and manifolds with conicial singularities},
  year      = {1997},
  language  = {en}
}
@article{SchroheLeopold1997,
  author    = {Schrohe, Elmar and Leopold, H.-G.},
  title     = {Invariance of the LP spectrum for hypoeliptic operators},
  year      = {1997},
  language  = {en}
}
@article{Schrohe1997,
  author    = {Schrohe, Elmar},
  title     = {Wodzicki{\"i}s noncommutative residue and trace for operator algebras on manifolds with conical singularities},
  year      = {1997},
  language  = {en}
}
@book{SchulzeDemuthAlbeverioetal.2001,
  author    = {Schulze, Bert-Wolfgang and Demuth, Michael and Albeverio, Sergio and Schrohe, Elmar},
  title     = {Advances in Partial differential equations},
  publisher = {Birkh{\"a}user},
  address   = {Basel},
  year      = {2001},
  language  = {en}
}
@misc{Schrohe1995,
  author    = {Schrohe, Elmar},
  title     = {Schulze, B.-W., Pseudo-Differential Boundary Value Problems, Conical Singularities, and Asymptotics; Berlin, Akademie-Verl., 1995},
  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}
}
@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{Schrohe1996,
  author    = {Schrohe, Elmar},
  title     = {Traces on the cone algebra with asymptotics},
  year      = {1996},
  language  = {en}
}
@article{SchroheNest1998,
  author    = {Schrohe, Elmar and Nest, R.},
  title     = {Diximier{\"i}s trace for boundary value problems},
  year      = {1998},
  language  = {en}
}
@article{SchroheWalzeWarzecha1998,
  author    = {Schrohe, Elmar and Walze, Markus and Warzecha, Jan-Martin},
  title     = {Construction de triplets spectraux a partir de modules de Fredholm},
  year      = {1998},
  language  = {de}
}
@misc{Schrohe1998,
  author    = {Schrohe, Elmar},
  title     = {Lesch, M., Operators of Fuchs type, conical singularities, and asymptotic methods},
  year      = {1998},
  language  = {en}
}
@article{SchroheSchulze1998,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges},
  year      = {1998},
  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{HieberSchrohe1997,
  author    = {Hieber, Matthias and Schrohe, Elmar},
  title     = {L p Spectral Independence of elliptic operators via commutator estimates},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 17},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {12 S.},
  year      = {1997},
  language  = {en}
}
@book{SchroheWalzeWarzecha1998,
  author    = {Schrohe, Elmar and Walze, Markus and Warzecha, Jan-Martin},
  title     = {Construction de triplets spectraux {\`a} partir de modules de Fredholm},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1998, 12},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {5 Bl.},
  year      = {1998},
  language  = {fr}
}
@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}
}
@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{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}
}
@book{JunkerSchrohe2001,
  author    = {Junker, W. and Schrohe, Elmar},
  title     = {Adiabatic vacuum states on general spacetime manifolds : definition, construction and physical properties},
  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     = {67 S.},
  year      = {2001},
  language  = {en}
}
@book{CoriascoSchroheSeiler2001,
  author    = {Coriasco, S. and Schrohe, Elmar and Seiler, J{\"o}rg},
  title     = {Bounded imaginary powers of differential operators on manifolds with conical 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     = {23 S.},
  year      = {2001},
  language  = {en}
}
@book{MeloNestSchrohe2001,
  author    = {Melo, S. T. and Nest, R. and Schrohe, Elmar},
  title     = {C*-Structure and K-theory of boutet de Monvel{\"i}s algebra},
  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      = {2001},
  language  = {en}
}
@article{Schrohe2001,
  author    = {Schrohe, Elmar},
  title     = {A short introduction to Boutet de Monvel's calculus},
  year      = {2001},
  language  = {en}
}
@article{GrubbSchrohe2001,
  author    = {Grubb, G. and Schrohe, Elmar},
  title     = {Trace expansions and the noncommutative dresidue for manifolds with boundary},
  year      = {2001},
  language  = {en}
}
@article{Schrohe2001,
  author    = {Schrohe, Elmar},
  title     = {Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces},
  year      = {2001},
  language  = {en}
}
@article{CoriascoSeilerSchrohe2001,
  author    = {Coriasco, S. and Seiler, J{\"o}rg and Schrohe, Elmar},
  title     = {Differential operators on conic manifolds : maximal regularity and parabolic equations},
  year      = {2001},
  language  = {en}
}
@book{Schrohe2000,
  author    = {Schrohe, Elmar},
  title     = {A short introduction to Boutet de Monvel`s calculus},
  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. : graph. Darst.},
  year      = {2000},
  language  = {en}
}
@misc{Schrohe1999,
  author    = {Schrohe, Elmar},
  title     = {Lesch, M., Operators of Fuchs type, conical singularities, and asymptotic methods},
  year      = {1999},
  language  = {en}
}
@book{SchroheSeiler1999,
  author    = {Schrohe, Elmar and Seiler, J{\"o}rg},
  title     = {Ellipticity and invertibility in the cone algebra on Lp-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     = {22 S.},
  year      = {1999},
  language  = {en}
}
@book{SchroheSchulze1999,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Edge-degenerate boundary value problems on cones},
  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     = {14 S.},
  year      = {1999},
  language  = {en}
}
@article{SchroheHieber1999,
  author    = {Schrohe, Elmar and Hieber, Matthias},
  title     = {Lp spectral independence of elliptic operators via commutator estimates},
  year      = {1999},
  language  = {en}
}
@article{Schrohe1999,
  author    = {Schrohe, Elmar},
  title     = {Frechet algebra techniques for boundary value problems on noncompact manifolds : Fredholm riteria and functional calculus via spectral invariance},
  year      = {1999},
  language  = {en}
}
@article{SchroheSchulze1999,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Mellin and Green symbols for boundary value problems on manifolds with edges},
  year      = {1999},
  language  = {en}
}
@article{Schrohe1999,
  author    = {Schrohe, Elmar},
  title     = {Noncommutative residues, Diximier{\"i}s trace, and heat trace expansions on manifolds with boundary},
  year      = {1999},
  language  = {en}
}
@unpublished{SchroheSchulze1999,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Edge-degenerate boundary value problems on cones},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25436},
  year      = {1999},
  abstract  = {We consider edge-degenerate families of pseudodifferential boundary value problems on a semi-infinite cylinder and study the behavior of their push-forwards as the cylinder is blown up to a cone near infinity. We show that the transformed symbols belong to a particularly convenient symbol class. This result has applications in the Fredholm theory of boundary value problems on manifolds with edges.},
  language  = {en}
}
@unpublished{MeloNestSchrohe2001,
  author    = {Melo, S. T. and Nest, R. and Schrohe, Elmar},
  title     = {C*-structure and K-theory of Boutet de Monvel's algebra},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26166},
  year      = {2001},
  abstract  = {We consider the norm closure A of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a manifold X with boundary ∂X. We first describe the image and the kernel of the continuous extension of the boundary principal symbol homomorphism to A. If X is connected and ∂X is not empty, we then show that the K-groups of A are topologically determined. In case the manifold, its boundary, and the cotangent space of its interior have torsion free K-theory, we get Ki(A,k) congruent Ki(C(X))⊕Ksub(1-i)(Csub(0)(T*X)),i = 0,1, with k denoting the compact ideal, and T*X denoting the cotangent bundle of the interior. Using Boutet de Monvel's index theorem, we also prove that the above formula holds for i = 1 even without this torsion-free hypothesis. For the case of orientable, two-dimensional X, Ksub(0)(A) congruent Z up(2g+m) and Ksub(1)(A) congruent Z up(2g+m-1), where g is the genus of X and m is the number of connected components of ∂X. We also obtain a composition sequence 0 ⊂ k ⊂ G ⊂ A, with A/G commutative and G/k isomorphic to the algebra of all continuous functions on the cosphere bundle of ∂X with values in compact operators on L²(R+).},
  language  = {en}
}
@unpublished{SchroheSeiler1999,
  author    = {Schrohe, Elmar and Seiler, J{\"o}rg},
  title     = {Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25621},
  year      = {1999},
  abstract  = {Given a manifold B with conical singularities, we consider the cone algebra with discrete asymptotics, introduced by Schulze, on a suitable scale of Lp-Sobolev spaces. Ellipticity is proven to be equivalent to the Fredholm property in these spaces, it turns out to be independent of the choice of p. We then show that the cone algebra is closed under inversion: whenever an operator is invertible between the associated Sobolev spaces, its inverse belongs to the calculus. We use these results to analyze the behaviour of these operators on Lp(B).},
  language  = {en}
}
@unpublished{CoriascoSchroheSeiler2001,
  author    = {Coriasco, Sandro and Schrohe, Elmar and Seiler, J{\"o}rg},
  title     = {Bounded imaginary powers of differential operators on manifolds with conical singularities},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25962},
  year      = {2001},
  abstract  = {We study the minimal and maximal closed extension of a differential operator A on a manifold B with conical singularities, when A acts as an unbounded operator on weighted Lp-spaces over B,1 < p < ∞. Under suitable ellipticity assumptions we can define a family of complex powers A up(z), z ∈ C. We also obtain sufficient information on the resolvent of A to show the boundedness of the pure imaginary powers. Examples concern unique solvability and maximal regularity of the solution of the Cauchy problem u' - Δu = f, u(0) = 0, for the Laplacian on conical manifolds.},
  language  = {en}
}
@unpublished{JunkerSchrohe2001,
  author    = {Junker, Wolfgang and Schrohe, Elmar},
  title     = {Adiabatic vacuum states on general spacetime manifolds : definition, construction, and physical properties},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26100},
  year      = {2001},
  abstract  = {Adiabatic vacuum states are a well-known class of physical states for linear quantum fields n Robertson-Walker spacetimes. We extend the definition of adiabatic vacua to general spacetime manifolds by using the notion of the Sobolev wavefront set. This definition is also applicable to interacting field theories. Hadamard states form a special subclass of the adiabatic vacua. We analyze physical properties of adiabatic vacuum representations of the Klein-Gordon field on globally hyperbolic spacetme manifolds (factoriality, quasiequivalence, local definteness, Haag duality) and construct them explicitly, if the manifold has a compact Cauchy surface.},
  language  = {en}
}
@unpublished{SchroheSeiler2002,
  author    = {Schrohe, Elmar and Seiler, J{\"o}rg},
  title     = {The resolvent of closed extensions of cone differential operators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26378},
  year      = {2002},
  abstract  = {We study an elliptic differential operator on a manifold with conical singularities, acting as an unbounded operator on a weighted Lp-space. Under suitable conditions we show that the resolvent (λ - A )-¹ exists in a sector of the complex plane and decays like 1/|λ| as |λ| -> ∞. Moreover, we determine the structure of the resolvent with enough precision to guarantee existence and boundedness of imaginary powers of A. As an application we treat the Laplace-Beltrami operator for a metric with striaght conical degeneracy and establish maximal regularity for the Cauchy problem u - Δu = f, u(0) = 0.},
  language  = {en}
}
@unpublished{HieberSchrohe1997,
  author    = {Hieber, Matthias and Schrohe, Elmar},
  title     = {Lρ spectral independence of elliptic operators via commutator estimates},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25047},
  year      = {1997},
  abstract  = {Let {Tsub(p) : q1 ≤ p ≤ q2} be a family of consistent Csub(0) semigroups on Lφ(Ω) with q1, q2 ∈ [1, ∞)and Ω ⊆ IRn open. We show that certain commutator conditions on Tφ and on the resolvent of its generator Aφ ensure the φ independence of the spectrum of Aφ for φ ∈ [q1, q2]. Applications include the case of Petrovskij correct systems with H{\"o}lder continuous coeffcients, Schr{\"o}dinger operators, and certain elliptic operators in divergence form with real, but not necessarily symmetric, or complex coeffcients.},
  language  = {en}
}
@unpublished{Schrohe1999,
  author    = {Schrohe, Elmar},
  title     = {Noncommutative residues, Dixmier's Trace, and heat trace expansions on manifolds with boundary},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25486},
  year      = {1999},
  abstract  = {For manifolds with boundary, we define an extension of Wodzicki's noncommutative residue to boundary value problems in Boutet de Monvel's calculus. We show that this residue can be recovered with the help of heat kernel expansions and explore its relation to Dixmier's trace.},
  language  = {en}
}
@unpublished{SchroheWalzeWarzecha1998,
  author    = {Schrohe, Elmar and Walze, Markus and Warzecha, Jan-Martin},
  title     = {Construction de Triplets Spectraux {\`a} Partir de Modules de Fredholm},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25247},
  year      = {1998},
  abstract  = {Soit (A, H, F) un module de Fredholm p-sommable, o{\`u} l'alg{\`e}bre A = CT est engendr{\´e}e par un groupe discret Gamma d'{\´e}l{\´e}ments unitaires de L(H) qui est de croissance polynomiale r. On construit alors un triplet spectral (A, H, D) sommabilit{\´e} q pour tout q > p + r + 1 avec F = signD. Dans le cas o{\`u} (A, H, F) est (p, infini)-sommable on obtient la (q, infini)-sommabilit{\´e} de (A, H, D)pour tout q > p + r + 1.},
  language  = {fr}
}