Operator Calculus and Spectral Theory

M. Demuth

ISBN 10: 3034897030 / ISBN 13: 9783034897037

Published by Birkhäuser, Birkhäuser Okt 2012, 2012

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -Heat equation asymptotics of a generalized Ahlfors Laplacian on a manifold with boundary.- Recurrent versus diffusive quantum behavior for time-dependent Hamiltonians.- Perturbations of spectral measures for Feller operators.- A global approach to the location of quantum resonances.- On estimates for the eigen-values in some elliptic problems.- Quantum scattering with long-range magnetic fields.- Spectral invariance and submultiplicativity for Fréchet algebras with applications to pseudo-differential operators and \* -quantization.- Décroissance exponentielle des fonctions propres pour l'opérateur de Kac: le cas de la dimension > 1.- Second order perturbations of divergence type operators with a spectral gap.- On the Weyl quantized relativistic Hamiltonian.- Spectral asymptotics for the family of commuting operators.- Pseudo differential operators with negative definite functions as symbol: Applications in probability theory and mathematical physics.- One-dimensional Schrödinger operators with high potential barriers.- General boundary value problems in regions with corners.- Some results for nonlinear equations in cylindrical domains.- Global representation of Langrangian distributions.- Stable asymptotics of the solution to the Dirichlet problem for elliptic equations of second order in domains with angular points or edges.- Maslov operator calculus and non-commutative analysis.- Relative time delay and trace formula for long range perturbations of Laplace operators.- Functional calculus and Fredholm criteria for boundary value problems on noncompact manifolds.- The variable discrete asymptotics of solutions of singular boundary value problems.- Schrödinger operators with arbitrary non-negative potentials.- Abel summability of the series of eigen- andassociated functions of the integral and differential operators.- The relativistic oscillator.- On the ratio of odd and even spectral counting functions.- A trace class property of singularly perturbed generalized Schrödinger semi-groups.- Radiation conditions and scattering theory for N-particle Hamiltonians (main ideas of the approach).Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 376 pp. Englisch.

Seller Inventory # 9783034897037

Bibliographic Details

• Title: Operator Calculus and Spectral Theory
• Publisher: Birkhäuser, Birkhäuser Okt 2012
• Publication Date: 2012
• Language: English
• ISBN 10: 3034897030
• ISBN 13: 9783034897037
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 21D millimeters 244 millimeters width by 170 millimeters height by 21 millimeters depth
• Weight: 648 grams

About this title

Synopsis

This volume contains the proceedings of the international conference on " Operator Calculus and Spectral Theory" in Lambrecht, Germany, Decem- ber 9. - 14., 1991, sponsored by the Deutsche Forschungsgemeinschaft, and by the Karl-Weierstrass-Institute of Mathematics, Berlin. The idea was to bring together specialists from different areas of modern analysis, geometry and mathematical physics, in a similar spirit as in the earlier series of conferences of the Karl-Weierstrass- Institute (Ludwigsfelde, 1976; Reinhardsbrunn, 1985; Holzhau, 1988; Breitenbrunn,1990). Berlin, Mainz M. Demuth B. Gramsch B. -W. Schulze List of talks given in La. brecht. 8. - 14. December 91 Name Title S. Albeverio Some recent deveiopments in Dirichlet forms and associated processes U. Bunke On the spectral flow of Dirac operators with negative definite functions as symbols - applications in probability theory and mathematical physics M. Combescure Recurrent versus diffusive behaviour for time-dependent quantum Hamiltonian E. B. Davies Analysis on graphs and noncommutative geometry M. Demuth On stochastic spectral analysis and asymptotics for Schrodinger operators P. Duclos A global approach to the location of quantum resonances v. v. Egorov On negative spectrum of elliptic operators V. EnB Non-threshold states of long-range N-body problems B. Gramsch -algebras and microlocal analysis P. B. Gilkey On the index of geometrical operators for Riemannian manifolds with boundary B. Helffer Spectral problems in statistical mechanics R. Hempe I Second order pertubations of elliptic operators with periodic principal part T. Ichinose On the Weyl quantized relativistic Hamiltonian V. V.