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Introduction to Harmonic Analysis and Generalized Gelfand Pairs
Buch von Gerrit van Dijk
Sprache: Englisch

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Beschreibung
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
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
Über den Autor
Gerrit van Dijk, Leiden University, Netherlands
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2009
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: ISSN
Inhalt: IX
223 S.
ISBN-13: 9783110220193
ISBN-10: 3110220199
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Dijk, Gerrit van
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
ISSN
Maße: 246 x 175 x 19 mm
Von/Mit: Gerrit van Dijk
Erscheinungsdatum: 16.11.2009
Gewicht: 0,586 kg
Artikel-ID: 101478421
Über den Autor
Gerrit van Dijk, Leiden University, Netherlands
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2009
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: ISSN
Inhalt: IX
223 S.
ISBN-13: 9783110220193
ISBN-10: 3110220199
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Dijk, Gerrit van
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
ISSN
Maße: 246 x 175 x 19 mm
Von/Mit: Gerrit van Dijk
Erscheinungsdatum: 16.11.2009
Gewicht: 0,586 kg
Artikel-ID: 101478421
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