@unpublished{SchulzeNazaikinskiiSterninetal.1997, author = {Schulze, Bert-Wolfgang and Nazaikinskii, Vladimir and Sternin, Boris and Shatalov, Victor}, title = {Spectral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with certain elliptic equations on manifolds with conical singularities is established.}, language = {en} } @unpublished{SchulzeNazaikinskiiSternin1998, author = {Schulze, Bert-Wolfgang and Nazaikinskii, Vladimir and Sternin, Boris}, title = {A semiclassical quantization on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in terms of fixed points of the corresponding canonical transformation of the symplectic space.}, language = {en} } @unpublished{SavinSchulzeSternin1998, author = {Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {On the invariant index formulas for spectral boundary value problems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25285}, year = {1998}, abstract = {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 The answer is given in analytical, as well as in topological terms.}, language = {en} } @unpublished{SavinSchulzeSternin2000, author = {Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic operators in subspaces}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25701}, year = {2000}, abstract = {We construct elliptic theory in the subspaces, determined by pseudodifferential projections. The finiteness theorem as well as index formula are obtained for elliptic operators acting in the subspaces. Topological (K-theoretic) aspects of the theory are studied in detail.}, 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} }