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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
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Informazioni sull?autore
Gerrit van Dijk, Leiden University, Netherlands
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Introduction to Harmonic Analysis and Generalized Gelfand Pairs
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The book under review is basically self-contained, only requiring basic functional analysis, some knowledge of distribution theory and elementary Lie theory. The material presented in the book is carefully explained so that it can be used for self-study. Codice articolo 4455299
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Introduction to Harmonic Analysis and Generalized Gelfand Pairs
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783110220193
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Introduction to Harmonic Analysis and Generalized Gelfand Pairs
Editore:
De Gruyter, De Gruyter Nov 2009, 2009
ISBN 10: 3110220199
ISBN 13: 9783110220193
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. 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 seriesFourier integralsLocally compact groupsHaar measuresHarmonic analysis on locally compact abelian groupsTheory and examples of Gelfand pairsTheory and examples of generalized Gelfand pairsWalter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 236 pp. Englisch. Codice articolo 9783110220193
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Introduction to Harmonic Analysis and Generalized Gelfand Pairs (De Gruyter Studies in Mathematics, 36)
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Introduction to Harmonic Analysis and Generalized Gelfand Pairs 36 De Gruyter Studies in Mathematics, 36
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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. Condizione: 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. Codice articolo 9783110220193
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