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A Course in Abstract Harmonic Analysis (Textbooks in Mathematics Book 29) by Folland, Gerald B. is a nonfiction available to read on EtoBox.

What is A Course in Abstract Harmonic Analysis (Textbooks in Mathematics Book 29) about?

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 results and techniques that are of interest in their own right. This book develops the abstract theory along with a well-chosen selection of concrete examples that exemplify the results and show the breadth of their applicability. After a preliminary chapter containing the necessary background material on Banach algebras and spectral theory, the text sets out the general theory of locally compact groups and their unitary representations, followed by a development of the more specific theory of analysis on Abelian groups and compact groups. There is an extensive chapter on the theory of induced representations and its applications, and the book concludes with a more informal exposition on the theory of representations of non-Abelian, non-compact groups. Featuring extensive updates and new examples, the Second Edition: Adds a short section on vo

Who reads A Course in Abstract Harmonic Analysis (Textbooks in Mathematics Book 29)?

Author

Folland, Gerald B.

Publisher

CRC Press, Taylor & Francis

Published

2015

Language

EN

ISBN

9781498727136

Category

nonfiction

Subjects

Mathematics, Science, Stem