TY - JOUR A1 - Wismath, Shelly A1 - Koppitz, Jörg A1 - Denecke, Klaus-Dieter T1 - Maps between M-solid varieties of emigroups Y1 - 1997 ER - TY - JOUR A1 - Vogel, Hans-Jürgen T1 - Relations as morphisms of a certain monoidal category Y1 - 1997 ER - TY - THES A1 - Seiler, Jörg T1 - Pseudodifferential Calculus on Manifolds with Non-Compact Edges Y1 - 1997 CY - Potsdam ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Tarkhanov, Nikolai Nikolaevich T1 - The Riemann-Roch theorem for manifolds with conical singularities N2 - The classical Riemann-Roch theorem is extended to solutions of elliptic equations on manifolds with conical points. T3 - Preprint - (1997) 18 KW - manifolds with singularities KW - elliptic operators KW - divisors Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25051 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Tarkhanov, Nikolai Nikolaevich T1 - Lefschetz theory on manifolds with edges : introduction N2 - The aim of this book is to develop the Lefschetz fixed point theory for elliptic complexes of pseudodifferential operators on manifolds with edges. The general Lefschetz theory contains the index theory as a special case, while the case to be studied is much more easier than the index problem. The main topics are: - The calculus of pseudodifferential operators on manifolds with edges, especially symbol structures (inner as well as edge symbols). - The concept of ellipticity, parametrix constructions, elliptic regularity in Sobolev spaces. - Hodge theory for elliptic complexes of pseudodifferential operators on manifolds with edges. - Development of the algebraic constructions for these complexes, such as homotopy, tensor products, duality. - A generalization of the fixed point formula of Atiyah and Bott for the case of simple fixed points. - Development of the fixed point formula also in the case of non-simple fixed points, provided that the complex consists of diferential operarators only. - Investigation of geometric complexes (such as, for instance, the de Rham complex and the Dolbeault complex). Results in this direction are desirable because of both purely mathe matical reasons and applications in natural sciences. N2 - Ziel des Buches ist es, die Lefschetz-Theorie der Fixpunkte für elliptische Komplexe von Pseudodifferentialoperatoren auf Mannigfaltigkeiten mit Kanten zu gewinnen. Die allgemeine Lefschetz-Theorie enthält die Index-Theorie als Spezialfall, aber der Fall, den wir analysieren werden, ist viel leichter als das Index-Problem. Ergebnisse in dieser Richtung sind wünschenswert, einerseits aus innermathematischen Gründen, aber auch im Hinblick auf Anwendungen in den Naturwissenschaften. T3 - Preprint - (1997) 08 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24948 ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Lefschetz theory on manifolds with edges : introduction T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 08 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - The Rieman-Roch theorem for manifolds with conical singularities T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 18 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - The index of elliptic operators on manifolds with cups Y1 - 1997 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris A1 - Shatalov, Victor T1 - Operator algebras on singular manifolds. I T3 - Preprint - (1997) 16 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25011 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris A1 - Shatalov, Victor T1 - On the index of differential operators on manifolds with conical singularities N2 - The paper contains the proof of the index formula for manifolds with conical points. For operators subject to an additional condition of spectral symmetry, the index is expressed as the sum of multiplicities of spectral points of the conormal symbol (indicial family) and the integral from the Atiyah-Singer form over the smooth part of the manifold. The obtained formula is illustrated by the example of the Euler operator on a two-dimensional manifold with conical singular point. T3 - Preprint - (1997) 10 KW - conical singularities KW - Mellin transform KW - pseudodiferential operators KW - ellipticity KW - Fredholm operators KW - regularizers KW - analytic index Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24965 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris A1 - Shatalov, Victor T1 - Nonstationary problems for equations of Borel-Fuchs type N2 - In the paper, the nonstationary problems for equations of Borel-Fuchs type are investigated. The asymptotic expansion are obtained for different orders of degeneration of operators in question. The approach to nonstationary problems based on the asymptotic theory on abstract algebras is worked out. T3 - Preprint - (1997) 11 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24973 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris A1 - Shatalov, Victor T1 - Operator algebras on singular manifolds. IV, V T3 - Preprint - (1997) 19 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25062 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris A1 - Shatalov, Victor T1 - On general boundary value problems for elliptic equations N2 - We construct a theory of general boundary value problems for differential operators whose symbols do not necessarily satisfy the Atiyah-Bott condition [3] of vanishing of the corresponding obstruction. A condition for these problems to be Fredholm is introduced and the corresponding finiteness theorems are proved. T3 - Preprint - (1997) 35 KW - elliptic boundary value problems KW - Atiyah-Bott condition KW - Calderón projections KW - Cauchy Riemann operator KW - Euler operator Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25138 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - Nonstationary problems for Borel-Fuchs type equations Y1 - 1997 ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - On the index of differential operators on manifolds with conical singularities T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 10 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - Nonstationary problems for equations of Borel-Fuchs type T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 11 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - On general boundary value problems for elliptic equations T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 35 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - Structure rings of singularities and differential equations Y1 - 1997 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - Operator algebras associated with resurgent transforms and differential equations on manifolds with singularities Y1 - 1997 ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Schrohe, Elmar T1 - Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis" (seit 1992) T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 12 PB - Univ. CY - Potsdam 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 - JOUR A1 - Schulze, Bert-Wolfgang T1 - Boundary value problems and edges pseudo-differential operators Y1 - 1997 ER - TY - JOUR A1 - Schrohe, Elmar A1 - Schulze, Bert-Wolfgang T1 - A symbol algebra for pseudodifferential boundary value problems on manifolds with edges Y1 - 1997 ER - TY - JOUR A1 - Schrohe, Elmar A1 - Leopold, H.-G. T1 - Invariance of the LP spectrum for hypoeliptic operators Y1 - 1997 ER - TY - JOUR A1 - Schrohe, Elmar T1 - Noncommutative residue and manifolds with conicial singularities Y1 - 1997 ER - TY - JOUR A1 - Schrohe, Elmar T1 - Wodzickiïs noncommutative residue and trace for operator algebras on manifolds with conical singularities Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - A new duality transformation for fouth-order gravity Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Memorial notice to J. Huang Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Klassiker der Kosmologie Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - A new proof of Birkhoffïs theorem Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Conformal relations and Hamiltonian formlation of fourth-order gravity Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Pictorial examples that distinguish covariant and contravariant vectors Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Janyska, Josef [u.a.](Ed.) Differential geometry and applications : proceedings of the 6th international conference Brno, August 28 - September 1, 1995; Brno, Masaryk Univ., 1996 BT - Differential geometry and applications : proceedings of the 6th international conference Brno, August 28 - September 1, 1995 Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - New steps towards a proof of the cosmological "no hair" theorem Y1 - 1997 SN - 981-023499-6 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - New conformal relations in fourth-order gravity Y1 - 1997 ER - TY - JOUR A1 - Schachtzabel, Hartmut A1 - Blumenstein, Oswald T1 - Modellierung hemerober Geosysteme erfordert Beachtung der Systemalterung Y1 - 1997 ER - TY - JOUR A1 - Saposhnikov, V. V. A1 - Morosov, Andrej A1 - Saposhnikov, Vl. V. A1 - Gössel, Michael T1 - Design of self-checking unidirectional combinational circuits with low area overhead Y1 - 1997 ER - TY - BOOK A1 - Ramlau, Ronny T1 - A modified Landweber-method for inverse problems T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 03 PB - Univ. CY - Potsdam ER - TY - INPR A1 - Rabinovich, Vladimir A1 - Schulze, Bert-Wolfgang A1 - Tarkhanov, Nikolai Nikolaevich T1 - A calculus of boundary value problems in domains with Non-Lipschitz Singular Points N2 - The paper is devoted to pseudodifferential boundary value problems in domains with singular points on the boundary. The tangent cone at a singular point is allowed to degenerate. In particular, the boundary may rotate and oscillate in a neighbourhood of such a point. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to singular points. T3 - Preprint - (1997) 09 KW - pseudodifferential operators KW - boundary value problems KW - manifolds with cusps Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-24957 ER - TY - BOOK A1 - Rabinovich, Vladimir A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - A calculus of boundary value problems in domains with Non-Lipschitz singular points T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 09 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Quaisser, Erhard A1 - Wendland, Horst T1 - Geometrie : Skripte (zur Vorlesung Geometrie im Grundstudium Nebenfach Mathematik) Y1 - 1997 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Quaisser, Erhard A1 - Wendland, Horst T1 - Darstellende Geometrie : Skripte Y1 - 1997 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Quaisser, Erhard A1 - Sprengel, Jens-Uwe T1 - Polyominos und Puzzles Y1 - 1997 ER - TY - JOUR A1 - Quaisser, Erhard T1 - OSTWALD-Muster und Parkette - Anregungen aus der Diskreten Geometrie für den Mathematikunterricht Y1 - 1997 ER - TY - JOUR A1 - Quaisser, Erhard T1 - OSTWALD-Muster und Parkette - Anregungen aus der Diskreten Geometrie für den Mathematikunterricht Y1 - 1997 ER - TY - BOOK A1 - Quaisser, Erhard T1 - Schrägbilder : Arbeitsblätter Y1 - 1997 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Quaisser, Erhard T1 - Schwache Kongruenzebenen Y1 - 1997 ER - TY - BOOK A1 - Quaisser, Erhard T1 - Lower levels of Euclidean planes T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 30 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Quaisser, Erhard T1 - Lattices in the Pseudoeuclidean plane T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 32 PB - Univ. CY - Potsdam ER - TY - THES A1 - Plewnia, Eckart T1 - Approximationstheorie homogener Polynome auf Banachräumen Y1 - 1997 ER -