Partial Differential Equations VII: Spectral Theory of Differential Operators (Encyclopaedia of Mathematical Sciences) by M. A. Shubin (PDF)

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    Ebook Info

    • Published: 1994
    • Number of pages:
    • Format: PDF
    • File Size: 15.09 MB
    • Authors: M. A. Shubin

    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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    Download Partial Differential Equations VII: Spectral Theory of Differential Operators (Encyclopaedia of Mathematical Sciences) PDF
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