Operator Calculus and Spectral Theory : Symposium on Operator Calculus and Spectral Theory Lambrecht (Germany) December 1991

Michael Demuth

ISBN 10: 3764327928 / ISBN 13: 9783764327927

Published by Springer, Basel, Birkhäuser Basel, 1992

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Seller Inventory # 9783764327927

Bibliographic Details

• Title: Operator Calculus and Spectral Theory : Symposium on Operator Calculus and Spectral Theory Lambrecht (Germany) December 1991
• Publisher: Springer, Basel, Birkhäuser Basel
• Publication Date: 1992
• Language: English
• ISBN 10: 3764327928
• ISBN 13: 9783764327927
• Binding: Buch
• Condition: Neu
• Dimensions: 244W x 0H x 0D millimeters 244 millimeters width by 0 millimeters height by 0 millimeters depth
• Weight: 850 grams

About this title

Synopsis

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- and associated 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).