Gerald B. Folland

A Course in Abstract Harmonic Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 319
• Erscheinungstermin: 3. Februar 2016
• Englisch
• ISBN-13: 9781498727150
• Artikelnr.: 43977668

Autorenporträt

Gerald B. Folland received his Ph.D in mathematics from Princeton University, New Jersey, USA in 1971. After two years at the Courant Institute of Mathematical Sciences, New York, USA, he joined the faculty of the University of Washington, Seattle, USA, where he is now professor emeritus of mathematics. He has written a number of research and expository articles on harmonic analysis and its applications, and he is the author of eleven textbooks and research monographs.

Inhaltsangabe

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.

Rezensionen

Praise for the Previous Edition

"This delightful book fills a long-standing gap in the literature on abstract harmonic analysis. ... To the reviewer's knowledge, no one existing book contains all of the topics that are treated in this one. ... [The author's] respect for the subject shows on every hand...through his careful writing style, which is concise, yet simple and elegant. The reviewer would encourage anyone with an interest in harmonic analysis to have this book in his or her personal library. ... a fine book that the reviewer would have been proud to write."
-Robert S. Doran in Mathematical Reviews®, Issue 98c