Partial Differential Equations VII

Spectral Theory of Differential Operators

By: M.A. Shubin (Editor), T. Zastawniak (Translator), G.V. Rozenblum (Contribution by)

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Hardcover | 14 December 1994

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Hardcover
284 Pages

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23.39 x 15.6 x 1.75

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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 Schrodinger 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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