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关键词:
Linear Operators and Their Spectra
书目信息
ISBN:
9780521866293(13位)
中图分类号:
O1
杜威分类号:
中文译名:
线性运算子和它们的谱
作者:
E. Brian Davies
编者:
语种:
English
出版信息
出版社:
Cambridge University Press
出版地:
出版年:
2007
版本:
版本类型:
原版
丛书题名:
卷期:
文献信息
关键词:
Abstract Analysis and Probability Theory
前言:
摘要:
内容简介:
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.
目次:
Preface; 1. Elementary operator theory; 2. Function spaces; 3. Fourier transforms and bases; 4. Intermediate operator theory; 5. Operators on Hilbert space; 6. One-parameter semigroups; 7. Special classes of semigroup; 8. Resolvents and generators; 9. Quantitative bounds on operators; 10. Quantitative bounds on semigroups; 11. Perturbation theory; 12. Markov chains and graphs; 13. Positive semigroups; 14. NSA Schr?dinger operators.
附录:
全文链接:
读者对象:
functional analysis, operator theory, spectral theory, differential equations, abstract analysis, probability theory
实体信息
页码:
400
装帧:
Hardback
尺寸:
其它形态细节:
其它信息
原价:
USD
75.0000
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
0521866294
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