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Table of contents (5 chapters)
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Front Matter
Keywords
About this book
The articles in this collection are devoted to various problems in mathematical physics and mathematical analysis, primarily in the fields of spectral theory and the theory of wave processes. The collection is intended for mathematicians sPf>cializing in the fields of mathematical physics, functional analysis, and the theory of differential equations. In addition, it is of some interest to theoretical physicists. The first paper deals with a mixed boundary value problem for a system of elasticity equations, and considers fields in the neighborhood of various wave fronts. The method used permits an estimate of the errors in the Ben-Menahem approximate method. Paper 2 investigates operators in separable Hilbert space given by double integrals of a type defined at the beginning of the paper, and in which integration is understood as the limit of the integral sums of Riemann-stieltjes. In paper 3, the problem of calculation of elastic constants for a laminarly inhomogeneous semi-infinite medium is conSidered, and the uniqueness of the solution of the inverse seismic problem at finite depth proved. The fourth paper gives a detailed account of the results of an earlier paper by the same author, in which he generalized to the three-dimensional case the trace formulas obtained for the one-dimensional Schroedinger operator. Asymptotic estimates of the resolvent kernel and solutions of the scattering problem are given.
Editors and Affiliations
Bibliographic Information
Book Title: Spectral Theory and Wave Processes
Editors: M. Sh. Birman
Series Title: Topics in Mathematical Physics
DOI: https://doi.org/10.1007/978-1-4684-7595-1
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1967
Softcover ISBN: 978-1-4684-7597-5Published: 08 October 2012
eBook ISBN: 978-1-4684-7595-1Published: 06 December 2012
Edition Number: 1
Number of Pages: VIII, 114
Number of Illustrations: 1 b/w illustrations