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 - 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 - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - On general boundary value problems for elliptic equations Y1 - 1998 SN - 0368-8666 SN - 0025-5157 SN - 0321-4540 ER - TY - BOOK A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - A semiclassical quantization on manifolds with singularities and the Lefschetz formula for elliptic operators T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1998 VL - 1998, 19 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - On the index of differential operators on manifolds with conical singularities Y1 - 1998 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - An operator algebra on manifolds with cusp type singularities Y1 - 1998 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - On general boundary value problems for elliptic equations Y1 - 1998 ER - TY - BOOK A1 - Savin, Anton A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - On the invariant index formulas for spectral boundary value problems T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1998 VL - 1998, 18b PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - On some global aspects of the theory of partial differential equations on manifolds with singularities Y1 - 1998 ER - TY - JOUR A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - Spectral boundary value problems and elliptic equations on singular manifolds Y1 - 1998 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - Differential equations on manifolds with singularities in classes of resurgent functions Y1 - 1998 ER - TY - BOOK A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - The index of quantized contact transformations on manifolds with conical singularities T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1998 VL - 1998, 16 PB - Univ. CY - Potsdam ER -