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A Course in Abstract Harmonic Analysis
ISBN-13:
9781498727150
Veröffentl:
2016
Seiten:
319
Autor:
Gerald B. Folland
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
This book presents the essentials of harmonic analysis on locally compact groups in a concise and accessible form. The text provides necessary background on Banach algebras and spectral theory, develops the theory of analysis on Abelian groups and compact groups, examines the theory of induced representations, and explores the theory of representations of non-Abelian, non-compact groups. This second edition adds material on representations of the discrete Heisenberg group, coverage of von Neumann algebras and Wiener's theorem, and discussion of SU(2), SO(3), and SO(4) using quaternions.
Banach Algebras and Spectral Theory. Locally Compact Groups. Basic Representation Theory. Analysis on Locally Compact Abelian Groups. Analysis on Compact Groups. Induced Representations. Further Topics in Representation Theory. Appendices.
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