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Linear Analysis and Representation Theory

Linear Analysis and Representation Theory

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作者: Steven A. Gaal 著

出版社: Dover Publications

出版时间: 2010-11

ISBN: 9780486478517

定价: 253.70

装帧: 平装

页数: 688页

正文语种: 英语

丛书: Dover Books on Mathematics

分类: 外文古旧书>英文书>工程技术

A frequently cited scholarly text， this unified treatment constitutes an ideal reference for graduate math students and mathematicians. Its clear， accurate formulations offer a relatively self-contained resource for those studying locally compact groups， Lie groups and algebras， harmonic analysis， and the representation of groups.
An introductory chapter on algebras and Banach algebras is followed by a summary of linear functional analysis and examinations of spectral theorem， stable subspaces， and von Neumann algebras. Subsequent chapters explore elementary representation theory in Hilbert space; topological groups， invariant measures， convolutions， and representations; the basic theory of induced representations; and fundamentals of the theory of representations of compact groups. The final chapters offer a concise introduction to the theory of Lie algebras， Lie groups， and transform groups.，
内容简介:
A frequently cited scholarly text， this unified treatment constitutes an ideal reference for graduate math students and mathematicians. Its clear， accurate formulations offer a relatively self-contained resource for those studying locally compact groups， Lie groups and algebras， harmonic analysis， and the representation of groups.
An introductory chapter on algebras and Banach algebras is followed by a summary of linear functional analysis and examinations of spectral theorem， stable subspaces， and von Neumann algebras. Subsequent chapters explore elementary representation theory in Hilbert space; topological groups， invariant measures， convolutions， and representations; the basic theory of induced representations; and fundamentals of the theory of representations of compact groups. The final chapters offer a concise introduction to the theory of Lie algebras， Lie groups， and transform groups.，

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