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Linear Operators and Their Spectra

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Davies, E.Brian 作者
Cambridge Univ Pr
譯者
2007-6 出版日期
464 頁數
$ 123.17 價格
HRD
叢書系列
9780521866293 圖書編碼

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Linear Operators and Their Spectra 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Linear Operators and Their Spectra 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Linear Operators and Their Spectra 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Linear Operators and Their Spectra 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Linear Operators and Their Spectra 在線電子書 圖書描述

This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.

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