@unpublished{NazaikinskiiSchulzeSternin1999, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization and the wave packet transform}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25447}, year = {1999}, language = {en} } @unpublished{SchulzeNazaikinskiiSternin1998, author = {Schulze, Bert-Wolfgang and Nazaikinskii, Vladimir and Sternin, Boris}, title = {A semiclassical quantization on manifolds with singularities and the Lefschetz Formula for Elliptic Operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25296}, year = {1998}, abstract = {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in terms of fixed points of the corresponding canonical transformation of the symplectic space.}, language = {en} } @unpublished{SchulzeNazaikinskiiSternin1998, author = {Schulze, Bert-Wolfgang and Nazaikinskii, Vladimir and Sternin, Boris}, title = {The index of quantized contact transformations on manifolds with conical singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25276}, year = {1998}, abstract = {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terms of the Epstein-Melrose contact degree and the conormal symbol of the corresponding operator.}, language = {en} } @unpublished{SchulzeNazaikinskiiSterninetal.1997, author = {Schulze, Bert-Wolfgang and Nazaikinskii, Vladimir and Sternin, Boris and Shatalov, Victor}, title = {Spectral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with certain elliptic equations on manifolds with conical singularities is established.}, language = {en} } @unpublished{NazaikinskiiSchulzeSterninetal.1997, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor}, title =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{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} }