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A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) by Gerald B. Folland is a mathematics available to read on EtoBox.

What is A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) about?

Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory.A Course in Abstract Harmonic Analysis offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory. After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book proceeds to the basic facts about locally compact groups, Haar measure, and unitary representations, including the Gelfand-Raikov existence theorem. The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications. The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups.

Who reads A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics)?

Author

Gerald B. Folland

Publisher

CRC Press LLC

Published

1995

Language

EN

ISBN

9780849384905

Category

mathematics

Subjects

Mathematics, Medical, Stem

Rating

5 / 5 (4 ratings)

Updated

2026-03-14