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Science/Engineering Partial Differential Equations VII: Spectral Theory of Differential Operators
Posted on 2010-03-15
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More G.V. Rozenblum, M.A. Shubin, M.Z. Solomyak , "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 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. Vol 6 Only RS mirrors, please RS mirror:
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