Partial Differential Equations VII : Spectral Theory of Differential Operators /
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 adva...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1994.
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| Series: | Encyclopaedia of mathematical sciences ;
64. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (v, 274 pages) |
| ISBN: | 9783662067192 (electronic bk.) 3662067196 (electronic bk.) |
| ISSN: | 0938-0396 ; |