Harmonic and spectral analysis /

Harmonic and spectral analysis /

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Bibliographic Details
Author / Creator:	Székelyhidi, László, author.
Imprint:	[Hackensack] New Jersey : World Scientific, 2014.
Description:	1 online resource
Language:	English
Subject:	Harmonic analysis. Spectral sequences (Mathematics) Harmonic analysis. Spectral sequences (Mathematics) Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11224865

Hidden Bibliographic Details
ISBN:	9789814531726 9814531723 9789814531719 9814531715
Notes:	Includes bibliographical references and index. Print version record.
Summary:	This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis.
Other form:	Print version: Székelyhidi, László. Harmonic and spectral analysis 9789814531719

Table of Contents:

Abtract harmonic analysis. 1. Duality of finite Abelian groups
2. Harmonic analysis on finite Abelian
3. Set theory and topology
4. Invariant means on Abelian groups
5. Duality of discrete and compact Abelian groups
6. Duality of elementary Abelian groups
7. Harmonic analysis on compact Abelian groups
8. Duality of locally compact Abelian groups
9. Haar Integral on locally compact Abelian groups
10. Harmonic analysis on locally compact Abelian groups
Spectral analysis and synthesis. 11. Basic concepts
12. Basic function classes
13. The torsion free rank
14. Spectral analysis
15. Spectral synthesis.