- Publisher: Springer
- Number Of Pages: 272
- Publication Date: 1994-12-27
- Sales Rank: 5021386
- ISBN / ASIN: 3540546774
- EAN: 9783540546771
- Binding: Hardcover
- Manufacturer: Springer
- Studio: Springer
- Book Description:
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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