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Introduction to Harmonic Analysis and Generalized Gelfand Pairs (De Gruyter Studies in Mathematics, 36) - Hardcover
Synopsis
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
"synopsis" may belong to another edition of this title.
About the Author
Gerrit van Dijk, Leiden University, Netherlands
"About this title" may belong to another edition of this title.
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Introduction to Harmonic Analysis and Generalized Gelfand Pairs
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De Gruyter, De Gruyter Nov 2009, 2009
ISBN 10: 3110220199
ISBN 13: 9783110220193
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 236 pp. Englisch. Seller Inventory # 9783110220193
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