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Linear Analysis and Representation Theory

Linear Analysis and Representation Theory

By: Steven A. Gaal

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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.

Reprint of the Springer-Verlag, Berlin, 1973 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486478513
ISBN 139780486478517
Author/EditorSteven A. Gaal
FormatBook
Page Count704
Dimensions6 1/8 x 9 1/4

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