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Book synopsis

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.

Book details

Book category Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Partial Differential Equations VII
• Author: M. A. Shubin
• Language: English
• Binding: Hardback
• Number of pages: 274
• EAN: 9783540546771
• ISBN: 3540546774
• ID: 05274215
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 1270 g
• Dimensions: 235 × 155 × 22 mm
• Date of publishing: 14. December 1994

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