Partial Differential Equations VII - Spectral Theory of Differential Operators (Encyclopaedia of Mathematical Sciences) - Yu. V. Egorov, M. A. Shubin (1994)
ISBN 3540546774
Publisher Springer-Verlag
Publication Date 12/27/1994
Format Hardcover (236 x 150 mm)
Language eng
Translator T. Zastawniak
This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces. The basic notions and theorems are first reviewed and followed by a comprehensive presentation of a variety of advanced approaches such as the factorization method, the variational techniques, the approximate spectral projection method, and the probabilistic method, to name a few. Special attention is devoted to the spectral properties of Schrödinger and Dirac operators and of other operators as well. In addition, a special section of Sunada's recent solution of Kac's celebrated problem of whether or not "one can hear the shape of a drum" is included.
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Collection Status In Collection
Index 7
Read It Yes
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LoC Classification BA.10.003 v.64 1994
Cover Price $139.00
No. of Pages 272