TY  - INPR
A1  - Nazaikinskii, Vladimir
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
T1  - Quantization and the wave packet transform
T3  - Preprint - (1999) 08 
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25447
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  - 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  - 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  - 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  - 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  -