Introduction to Harmonic Analysis and Generalized Gelfand Pairs

Gerrit van Dijk

ISBN 10: 3110220199 / ISBN 13: 9783110220193

Editore: De Gruyter, De Gruyter Nov 2009, 2009

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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

Dati bibliografici

• Titolo: Introduction to Harmonic Analysis and Generalized Gelfand Pairs
• Editore: De Gruyter, De Gruyter Nov 2009
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3110220199
• ISBN 13: 9783110220193
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 246 L x 175 A x 19 P (millimetri) 246 millimetri di larghezza per 175 millimetri di altezza per 19 millimetri di profondità
• Peso: 586 grammi

Descrizione articolo

Riassunto

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

Informazioni sull?autore

Gerrit van Dijk, Leiden University, Netherlands