A course in abstract harmonic analysis / Gerald B. Folland.

Format:

Book

Author/Creator:

Folland, G. B., author.

Series:

Textbooks in mathematics (Boca Raton, Fla.)

Textbooks in Mathematics

Language:

English

Subjects (All):

Harmonic analysis.

Mathematical analysis.

Physical Description:

1 online resource (316 p.)

Edition:

2nd ed.

Place of Publication:

Boca Raton : Taylor & Francis, 2016.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

A CRC title.

Includes bibliographical references.

Description based on print version record.

ISBN:

9781040071304

1040071309

9780429154690

0429154690

9781498727150

1498727158

OCLC:

929136122