Introduction to Harmonic Analysis and Generalized Gelfand Pairs / / Gerrit van Dijk.
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 the...
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Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2009] ©2009 |
Year of Publication: | 2009 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
36 |
Online Access: | |
Physical Description: | 1 online resource (223 p.) |
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100 | 1 | |a Dijk, Gerrit van, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Introduction to Harmonic Analysis and Generalized Gelfand Pairs / |c Gerrit van Dijk. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2009] | |
264 | 4 | |c ©2009 | |
300 | |a 1 online resource (223 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
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490 | 0 | |a De Gruyter Studies in Mathematics , |x 0179-0986 ; |v 36 | |
505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t 1 Fourier Series -- |t 2 Fourier Integrals -- |t 3 Locally Compact Groups -- |t 4 Haar Measures -- |t 5 Harmonic Analysis on Locally Compact Abelian Groups -- |t 6 Classical Theory of Gelfand Pairs -- |t 7 Examples of Gelfand Pairs -- |t 8 Theory of Generalized Gelfand Pairs -- |t 9 Examples of Generalized Gelfand Pairs -- |t Backmatter |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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 | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
650 | 0 | |a Fourier analysis. | |
650 | 0 | |a Harmonic analysis. | |
650 | 4 | |a Analysis. | |
650 | 4 | |a Gelfand. | |
650 | 4 | |a Lokalkompakte Gruppe. | |
650 | 7 | |a MATHEMATICS / Group Theory. |2 bisacsh | |
653 | |a Generalized Gelfand Pairs. | ||
653 | |a Harmonic Analysis. | ||
653 | |a Locally Compact Abelian Groups. | ||
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009 |z 9783110219524 |
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776 | 0 | |c print |z 9783110220193 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110220209 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110220209 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110220209/original |
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