UID:
almahu_9949462253502882
Format:
1 online resource (223 p.)
ISBN:
9783110220209
,
9783110494938
Series Statement:
De Gruyter Studies in Mathematics , 36
Content:
This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed. This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space. From the contents Fourier series Fourier integrals Locally compact groups Haar measures Harmonic analysis on locally compact abelian groups Theory and examples of Gelfand pairs Theory and examples of generalized Gelfand pairs
Note:
Frontmatter --
,
Contents --
,
1 Fourier Series --
,
2 Fourier Integrals --
,
3 Locally Compact Groups --
,
4 Haar Measures --
,
5 Harmonic Analysis on Locally Compact Abelian Groups --
,
6 Classical Theory of Gelfand Pairs --
,
7 Examples of Gelfand Pairs --
,
8 Theory of Generalized Gelfand Pairs --
,
9 Examples of Generalized Gelfand Pairs --
,
Backmatter
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009, De Gruyter, 9783110219517
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009, De Gruyter, 9783110219524
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009, De Gruyter, 9783110219463
Additional Edition:
ISBN 9783110220193
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110220209
URL:
https://doi.org/10.1515/9783110220209
URL:
https://www.degruyter.com/isbn/9783110220209
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