@article{SavinSternin2005, author = {Savin, Anton and Sternin, Boris}, title = {Boundary value problems on manifolds with fibered boundary}, issn = {0025-584X}, year = {2005}, abstract = {We define a class of boundary value problems on manifolds with fibered boundary. This class is in a certain sense a deformation between the classical boundary value problems and the Atiyah-Patodi-Singer problems in subspaces (it contains both as special cases). The boundary conditions in this theory are taken as elements of the C*-algebra generated by pseudodifferential operators and families of pseudodifferential operators in the fibers. We prove the Fredholm. property for elliptic boundary value problems and compute a topological obstruction (similar to Atiyah-Bott obstruction) to the existence of elliptic boundary conditions for a given elliptic operator. Geometric operators with trivial and nontrivial obstruction are given. (c) 2005 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim}, language = {en} } @book{SavinSternin2005, author = {Savin, Anton and Sternin, Boris}, title = {Pseudodifferential subspaces and their applications in elliptic theory}, 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 = {46 S.}, year = {2005}, language = {en} } @book{NazajkinskijSternin2002, author = {Nazajkinskij, Vladimir E. and Sternin, Boris}, title = {Relative elliptic theory}, 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 = {74 S.}, year = {2002}, language = {en} } @book{NazajkinskijSternin2001, author = {Nazajkinskij, Vladimir E. and Sternin, Boris}, title = {Some problems of control of semiclassical states for the schr{\"o}dinger equation}, 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 = {30 S.}, year = {2001}, language = {en} } @book{SavinSternin2001, author = {Savin, Anton and Sternin, Boris}, title = {Index defects in the theorie of nonlocal boundary value problems and the n-invariant}, 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 = {53 S.}, year = {2001}, language = {en} } @book{SavinSternin2000, author = {Savin, Anton and Sternin, Boris Ju.}, title = {Eta invariant and parity conditions}, 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 = {31 S.}, year = {2000}, language = {en} } @book{NazajkinskijSternin2000, author = {Nazajkinskij, Vladimir E. and Sternin, Boris Ju.}, title = {On surgery in elliptic theory}, 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 = {2000}, language = {en} } @book{SavinSternin2000, author = {Savin, Anton and Sternin, Boris Ju.}, title = {Eta-invariant and pontrjagin duality in K-theory}, 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 = {25 S.}, year = {2000}, language = {en} } @book{SavinSternin1999, author = {Savin, Anton and Sternin, Boris Ju.}, title = {Elliptic operators in even subspaces}, 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 = {39 S. : graph. Darst.}, year = {1999}, language = {en} } @book{SavinSternin1999, author = {Savin, Anton and Sternin, Boris Ju.}, title = {Elliptic operators in odd subspaces}, 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 = {26 S.}, year = {1999}, language = {en} } @article{SchulzeSterninSatalov1997, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {Nonstationary problems for Borel-Fuchs type equations}, year = {1997}, language = {en} } @book{NazajkinskijSavinSchulzeetal.2002, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : 4 obstructions to elliptic problems on manifolds with edges}, 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 = {21 S.}, year = {2002}, language = {en} } @article{NazajkinskijSavinSterninetal.2005, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang}, title = {On the index of elliptic operators on manifolds with edges}, year = {2005}, abstract = {Necessary and sufficient conditions for the representation of the index of elliptic operators on manifolds with edges in the form of the sum of homotopy invariants of symbols on the smooth stratum and on the edge are found. An index formula is obtained for elliptic operators on manifolds with edges under symmetry conditions with respect to the edge covariables}, language = {en} } @article{NazajkinskijSchulzeSterninetal.1999, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {The Atiyah-Bott-Lefschetz formula for elliptic operators on manifolds with conical singularities}, issn = {0002-3264}, year = {1999}, language = {en} } @article{NazajkinskijSavinSterninetal.2005, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang}, title = {Pseudodifferential operators on manifolds with singularities and localization}, issn = {1064-5624}, year = {2005}, language = {en} } @book{NazajkinskijSavinSchulzeetal.2004, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {The index problem on manifolds with 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 = {27 S.}, year = {2004}, language = {en} } @book{NazajkinskijSavinSchulzeetal.2004, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with edges}, 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 = {48 S.}, year = {2004}, language = {en} } @book{NazajkinskijSchulzeSternin2000, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {Noncommutative Analysis and High-Frequency Asymptotics}, 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 = {2000}, language = {en} } @article{NazajkinskijSchulzeSterninetal.1999, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {Spectral boundary value problems and elliptic equations on manifolds with singularities}, issn = {0002-3264}, year = {1999}, language = {en} } @article{NazajkinskijSchulzeSterninetal.1999, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {Quantizational of canonical transformations on manifolds with conical singularities}, issn = {0002-3264}, year = {1999}, language = {en} } @article{NazajkinskijSterninSchulze1999, author = {Nazajkinskij, Vladimir E. and Sternin, Boris Ju. and Schulze, Bert-Wolfgang}, title = {The index of quantized contact transformations on manifolds with conical singularities}, issn = {0002-3264}, year = {1999}, language = {en} } @book{NazajkinskijSchulzeSternin2000, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {Exactly soluble commutation relations}, 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 = {41 S.}, year = {2000}, language = {en} } @article{SchulzeSterninSatalov1999, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {On the index of elliptic operators on manifolds with conical singularities}, issn = {0002-3264}, year = {1999}, language = {en} } @article{NazajkinskijSchulzeSterninetal.1999, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {The Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities}, year = {1999}, language = {en} } @article{SchulzeSterninSatalov1999, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {On boundary value problems for elliptic equations}, issn = {0002-3264}, year = {1999}, language = {en} } @book{SchulzeNazajkinskijSternin1999, author = {Schulze, Bert-Wolfgang and Nazajkinskij, Vladimir E. and Sternin, Boris Ju.}, title = {On the homotopy classification of elliptic operators on manifolds with 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 = {22 S. : graph. Darst.}, year = {1999}, language = {en} } @book{NazajkinskijSchulzeSternin2000, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {Applications of noncommutative analysis to operator algebras on singular manifolds}, 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 = {54 S.}, year = {2000}, language = {en} } @book{SchulzeSavinSternin1999, author = {Schulze, Bert-Wolfgang and Savin, Anton and Sternin, Boris Ju.}, title = {The homotopy classification and the index of boundary value problems for general elliptic 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 = {27 S. : graph. Darst.}, year = {1999}, language = {en} } @book{NazajkinskijSchulzeSternin2000, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {Noncommutative analysis : main ideas, definitions, and theorems}, 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 = {51 S.}, year = {2000}, language = {en} } @book{NazajkinskijSchulzeSternin1999, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {Quantization and the wave packet transform}, 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 = {63 S.}, year = {1999}, language = {en} } @book{NazajkinskijSchulzeSternin1999, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {Quantization of Lagrangian modules}, 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 = {1999}, language = {en} } @book{SavinSchulzeSternin2000, author = {Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {Elliptic operators in subspaces}, 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 = {2000}, language = {en} } @book{NazajkinskijSavinSchulzeetal.2004, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {On the homotopy classification of elliptic operators on manifolds with edges}, 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 = {26 S.}, year = {2004}, language = {en} } @book{NazajkinskijSavinSchulzeetal.2002, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : 1 the index of families of cone-degenerate 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}, pages = {18 S.}, year = {2002}, language = {en} } @book{NazajkinskijSchulzeSternin2002, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Surgery and the relative index theorem for families of elliptic 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 = {21 S.}, year = {2002}, language = {en} } @book{NazajkinskijSavinSchulzeetal.2003, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with edges. I}, 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 = {35 S.}, year = {2003}, language = {en} } @book{NazajkinskijSavinSchulzeetal.2002, author = {Nazajkinskij, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on Manifolds with nonisolated singularities : 3 the Spectral flow of Families of conaormal symbols}, 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 = {42 S.}, year = {2002}, language = {en} } @book{SchulzeSterninSatalov1997, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {On the index of differential operators on manifolds with conical singularities}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1997, 10}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {37 S.}, year = {1997}, language = {en} } @book{SchulzeSterninSatalov1997, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {Nonstationary problems for equations of Borel-Fuchs type}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1997, 11}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {34 S.}, year = {1997}, language = {en} } @book{SchulzeSterninSatalov1997, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {On general boundary value problems for elliptic equations}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1997, 35}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {36 S.}, year = {1997}, language = {en} } @article{SchulzeSterninSatalov1997, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {Structure rings of singularities and differential equations}, year = {1997}, language = {en} } @article{SchulzeSterninSatalov1997, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {Operator algebras associated with resurgent transforms and differential equations on manifolds with singularities}, year = {1997}, language = {en} } @article{SchulzeSterninSatalov1994, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {Resurgent analysis and differential equations with singularities}, year = {1994}, language = {en} } @article{SchulzeSterninSatalov1995, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {Resurgent analysis in the theory of differential equations with singularities}, year = {1995}, language = {en} } @article{SchulzeSterninSatalov1998, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {On general boundary value problems for elliptic equations}, issn = {0368-8666}, year = {1998}, language = {en} } @book{NazajkinskijSchulzeSternin1998, author = {Nazajkinskij, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {A semiclassical quantization on manifolds with singularities and the Lefschetz formula for elliptic operators}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1998, 19}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {25 S.}, year = {1998}, language = {en} } @article{SchulzeSterninSatalov1998, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {On the index of differential operators on manifolds with conical singularities}, year = {1998}, language = {en} } @article{SchulzeSterninSatalov1998, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {An operator algebra on manifolds with cusp type singularities}, year = {1998}, language = {en} } @article{SavinSchulzeSternin1999, author = {Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris Ju.}, title = {On the invariant index formulas for spectral boundary value problems}, year = {1999}, language = {en} } @article{SchulzeSterninSatalov1998, author = {Schulze, Bert-Wolfgang and Sternin, Boris Ju. and Satalov, Viktor E.}, title = {On general boundary value problems for elliptic equations}, year = {1998}, language = {en} }