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Introduction to Harmonic Analysis and Generalized Gelfand Pairs: 36 (De Gruyter Studies in Mathematics, 36) - Tapa dura

Van Dijk, Gerrit

 
9783110220193: Introduction to Harmonic Analysis and Generalized Gelfand Pairs: 36 (De Gruyter Studies in Mathematics, 36)
Tapa dura
ISBN 10: 3110220199 ISBN 13: 9783110220193
Editorial: De Gruyter, 2009

Sinopsis

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

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Gerrit van Dijk, Leiden University, Netherlands

De la contraportada

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
De Gruyter
Año de publicación
2009
Idioma
Inglés
ISBN 10 
3110220199
ISBN 13 
9783110220193
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
223
Contacto del fabricante
no disponible
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