TY  - BOOK
A1  - Schulze, Bert-Wolfgang
T1  - Pseudo-differential boundary value problems, conical singularities, and asymptotics
T3  - Mathematical topics
Y1  - 1994
SN  - 3-05-501597-5
VL  - 4
PB  - Akad.-Verl.
CY  - Berlin
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris Ju.
A1  - Satalov, Viktor E.
T1  - Resurgent analysis and differential equations with singularities
Y1  - 1994
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
T1  - Pseudo-differential operators, ellipticity and asymptotics on manifolds with edges
Y1  - 1994
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
T1  - The variable discrete asymptotics in pseudo-differential boundary value problems
Y1  - 1994
ER  - 
TY  - JOUR
A1  - Schrohe, Elmar
A1  - Schulze, Bert-Wolfgang
T1  - Boundary value problems in Boutet de Monvelïs algebra for manifolds with conical singularities I
Y1  - 1994
ER  - 
TY  - JOUR
A1  - Dorschfeldt, Christoph
A1  - Schulze, Bert-Wolfgang
T1  - Pseudo-differential operators with operator-valued symbols in the Mellin-edge-approach
Y1  - 1994
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
T1  - Transmission algebras on singular spaces with components of different dimensions
Y1  - 1995
ER  - 
TY  - JOUR
A1  - Schrohe, Elmar
A1  - Schulze, Bert-Wolfgang
T1  - Mellin quantization in the cone calculus for Boutet de Monvelïs algebra
Y1  - 1995
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
T1  - The variable discrete asymptotics in pseudo-differential boundary value problems II
Y1  - 1995
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris Ju.
A1  - Satalov, Viktor E.
T1  - Resurgent analysis in the theory of differential equations with singularities
Y1  - 1995
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
T1  - The variable discrete asymptotics in pseudo-differential boundary value problems II
Y1  - 1995
ER  - 
TY  - JOUR
A1  - Schrohe, Elmar
A1  - Schulze, Bert-Wolfgang
T1  - Boundary value problems in Boutet de Monvel's algebra for manifolds with conical singularities II
Y1  - 1995
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
A1  - Tarchanov, Nikolaj N.
T1  - Coordinate invariance of the wedge Sobolev spaces = Wedge Sobelev spaces
BT  - Wedge Sobolev spaces
Y1  - 1996
ER  - 
TY  - JOUR
A1  - Fedosov, Boris V.
A1  - Schulze, Bert-Wolfgang
T1  - On the index elliptic operators on a cone
Y1  - 1996
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
A1  - Shatalov, Victor
T1  - On the index of differential operators on manifolds with conical singularities
N2  - 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.
T3  - Preprint - (1997) 10 
KW  - conical singularities
KW  - Mellin transform
KW  - pseudodiferential operators
KW  - ellipticity
KW  - Fredholm operators
KW  - regularizers
KW  - analytic index
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24965
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - The Riemann-Roch theorem for manifolds with conical singularities
N2  - The classical Riemann-Roch theorem is extended to solutions of elliptic equations on manifolds with conical points.
T3  - Preprint - (1997) 18 
KW  - manifolds with singularities
KW  - elliptic operators
KW  - divisors
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25051
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
A1  - Shatalov, Victor
T1  - Operator algebras on singular manifolds. IV, V
T3  - Preprint - (1997) 19 
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25062
ER  - 
TY  - INPR
A1  - Nazaikinskii, Vladimir
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
A1  - Shatalov, Victor
T1  - A Lefschetz fixed point theorem for manifolds with conical singularities
N2  - We establish an Atiyah-Bott-Lefschetz formula for elliptic operators on manifolds with conical singular points.
T3  - Preprint - (1997) 20 
KW  - elliptic operator
KW  - Fredholm property
KW  - conical singularities
KW  - pseudo-diferential operators
KW  - Lefschetz fixed point formula
KW  - regularizer
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25073
ER  - 
TY  - INPR
A1  - Nazaikinskii, Vladimir
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
A1  - Shatalov, Victor
T1  - Quantization of symplectic transformations on manifolds with conical singularities
N2  - 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.
T3  - Preprint - (1997) 23 
KW  - manifolds with conical singularities
KW  - symplectic (canonical) transformations
KW  - quantization
KW  - Mellin transform
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25084
ER  - 
TY  - INPR
A1  - Fedosov, Boris
A1  - Schulze, Bert-Wolfgang
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - The index of elliptic operators on manifolds with conical points
N2  - 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.
T3  - Preprint - (1997) 24 
KW  - manifolds with singularities
KW  - pseudodifferential operators
KW  - elliptic operators
KW  - index
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25096
ER  - 
TY  - INPR
A1  - Fedosov, Boris
A1  - Schulze, Bert-Wolfgang
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - On the index formula for singular surfaces
N2  - 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.
T3  - Preprint - (1997) 31 
KW  - manifolds with singularities
KW  - differential operators
KW  - index
KW  - 'eta' invariant
KW  - monodromy matrix
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25116
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
A1  - Shatalov, Victor
T1  - On general boundary value problems for elliptic equations
N2  - 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.
T3  - Preprint - (1997) 35 
KW  - elliptic boundary value problems
KW  - Atiyah-Bott condition
KW  - Calderón projections
KW  - Cauchy Riemann operator
KW  - Euler operator
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25138
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Nazaikinskii, Vladimir
A1  - Sternin, Boris
A1  - Shatalov, Victor
T1  - Spectral boundary value problems and elliptic equations on singular manifolds
N2  - 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.
T3  - Preprint - (1997) 36 
KW  - APS problem
KW  - spectral resolution
KW  - nonhomogeneous boundary value problems
KW  - Fredholm property
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25147
ER  - 
TY  - BOOK
A1  - Egorov, Jurij V.
A1  - Schulze, Bert-Wolfgang
T1  - Pseudo-differential operators, singularities, applicatons
T3  - Operator theory
Y1  - 1997
SN  - 3-7643-5484-4
VL  - 93
PB  - Birkhäuser
CY  - Basel
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
A1  - Tarchanov, Nikolaj N.
T1  - The index of elliptic operators on manifolds with cups
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris Ju.
A1  - Satalov, Viktor E.
T1  - Structure rings of singularities and differential equations
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Buchholz, Thilo
A1  - Schulze, Bert-Wolfgang
T1  - Anisotropic edges pseudo-differential operators withdiscrete asymptotics
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Gil, J. B.
A1  - Schulze, Bert-Wolfgang
A1  - Seiler, Jörg
T1  - Holomorphic operator-valued symbols for edgedegenerate pseudo-differential operators
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris Ju.
A1  - Satalov, Viktor E.
T1  - Operator algebras associated with resurgent transforms and differential equations on manifolds with singularities
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris Ju.
A1  - Satalov, Viktor E.
T1  - Nonstationary problems for Borel-Fuchs type equations
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Schulze, Bert-Wolfgang
T1  - Boundary value problems and edges pseudo-differential operators
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Dorschfeldt, Christoph
A1  - Grieme, Ulrich
A1  - Schulze, Bert-Wolfgang
T1  - Pseudo-differential calculus in the Fourieredge approach on non-compact manifolds
Y1  - 1997
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Tarchanov, Nikolaj N.
T1  - The Rieman-Roch theorem for manifolds with conical singularities
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 18
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Fedosov, Boris V.
A1  - Schulze, Bert-Wolfgang
A1  - Tarchanov, Nikolaj N.
T1  - On the index formula for singular surfaces
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 31
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Fedosov, Boris V.
A1  - Schulze, Bert-Wolfgang
A1  - Tarchanov, Nikolaj N.
T1  - The index of elliptic operators on manifolds with conical points
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 24
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris Ju.
A1  - Satalov, Viktor E.
T1  - On the index of differential operators on manifolds with conical singularities
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 10
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Tarchanov, Nikolaj N.
T1  - Lefschetz theory on manifolds with edges : introduction
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 08
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Schrohe, Elmar
T1  - Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis" (seit 1992)
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 12
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris Ju.
A1  - Satalov, Viktor E.
T1  - On general boundary value problems for elliptic equations
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 35
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Rabinovich, Vladimir
A1  - Schulze, Bert-Wolfgang
A1  - Tarchanov, Nikolaj N.
T1  - A calculus of boundary value problems in domains with Non-Lipschitz singular points
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 09
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris Ju.
A1  - Satalov, Viktor E.
T1  - Nonstationary problems for equations of Borel-Fuchs type
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1997
VL  - 1997, 11
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Schrohe, Elmar
A1  - Schulze, Bert-Wolfgang
T1  - A symbol algebra for pseudodifferential boundary value problems on manifolds with edges
Y1  - 1997
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Lefschetz theory on manifolds with edges : introduction
N2  - 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.
N2  - Ziel des Buches ist es, die Lefschetz-Theorie der Fixpunkte für elliptische Komplexe von Pseudodifferentialoperatoren auf Mannigfaltigkeiten mit Kanten zu gewinnen. Die allgemeine Lefschetz-Theorie enthält die Index-Theorie als Spezialfall, aber der Fall, den wir analysieren werden, ist viel leichter als das Index-Problem. Ergebnisse in dieser Richtung sind wünschenswert, einerseits aus innermathematischen Gründen, aber auch im Hinblick auf Anwendungen in den Naturwissenschaften.
T3  - Preprint - (1997) 08 
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24948
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
A1  - Shatalov, Victor
T1  - Nonstationary problems for equations of Borel-Fuchs type
N2  - 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.
T3  - Preprint - (1997) 11 
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24973
ER  - 
TY  - INPR
A1  - Rabinovich, Vladimir
A1  - Schulze, Bert-Wolfgang
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - A calculus of boundary value problems in domains with Non-Lipschitz Singular Points
N2  - 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.
T3  - Preprint - (1997) 09 
KW  - pseudodifferential operators
KW  - boundary value problems
KW  - manifolds with cusps
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24957
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
A1  - Shatalov, Victor
T1  - Operator algebras on singular manifolds. I
T3  - Preprint - (1997) 16 
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25011
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Nazaikinskii, Vladimir
A1  - Sternin, Boris
T1  - The index of quantized contact transformations on manifolds with conical singularities
N2  - The quantization of contact transformations of the cosphere bundle over a manifold with conical singularities is described. The index of Fredholm operators given by this quantization is calculated. The answer is given in terms of the Epstein-Melrose contact degree and the conormal symbol of the corresponding operator.
T3  - Preprint - (1998) 16 
KW  - manifolds with conical singularities
KW  - contact transformations
KW  - quantization
KW  - ellipticity
KW  - Fredholm operators
KW  - regularizers
KW  - index formulas
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25276
ER  - 
TY  - INPR
A1  - Savin, Anton
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
T1  - On the invariant index formulas for spectral boundary value problems
N2  - In the paper we study the possibility to represent the index formula for spectral boundary value problems as a sum of two terms, the first one being homotopy invariant of the principal symbol, while the second depends on the conormal symbol of the problem only. The answer is given in analytical, as well as in topological terms.
T3  - Preprint - (1998) 18 
KW  - spectral boundary value problems
KW  - Fredholm property
KW  - index of elliptic operator
KW  - Chern character
KW  - Atiyah-Patodi-Singer theory
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25285
ER  - 
TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Nazaikinskii, Vladimir
A1  - Sternin, Boris
T1  - A semiclassical quantization on manifolds with singularities and the Lefschetz Formula for Elliptic Operators
N2  - For general endomorphisms of elliptic complexes on manifolds with conical singularities, the semiclassical asymptotics of the Atiyah-Bott-Lefschetz number is calculated in terms of fixed points of the corresponding canonical transformation of the symplectic space.
T3  - Preprint - (1998) 19 
KW  - elliptic operator
KW  - Fredholm property
KW  - conical singularities
KW  - pseudodiferential operators
KW  - Lefschetz fixed point formula
KW  - regularizer
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25296
ER  - 
TY  - INPR
A1  - Rabinovich, Vladimir
A1  - Schulze, Bert-Wolfgang
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Boundary value problems in cuspidal wedges
N2  - 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.
T3  - Preprint - (1998) 24 
KW  - pseudodifferential operators
KW  - boundary value problems
KW  - manifolds with edges
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25363
ER  -