Introduction to Harmonic Analysis and Generalized Gelfand Pairs

Gerrit van Dijk

ISBN 10: 3110220199 / ISBN 13: 9783110220193

Verlag: De Gruyter, DE, 2009

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 seriesFourier integralsLocally compact groupsHaar measuresHarmonic analysis on locally compact abelian groupsTheory and examples of Gelfand pairsTheory and examples of generalized Gelfand pairs.

Bestandsnummer des Verkäufers LU-9783110220193

Bibliografische Details

• Titel: Introduction to Harmonic Analysis and Generalized Gelfand Pairs
• Verlag: De Gruyter, DE
• Erscheinungsjahr: 2009
• Sprache: Englisch
• ISBN-10: 3110220199
• ISBN-13: 9783110220193
• Einband: Hardback
• Zustand: New
• Gewicht: 526 Gramm

Über diesen Titel

Inhaltsangabe

Harmonic analysis is the branch of mathematics that studies the representation of functions or signals as the superposition of basic waves, and Gelfand pairs refer to pairs of groups satisfying certain properties on restricted representations. This book contains written material of lectures on the topic which might serve as an introduction to the topic.

Über die Autorin bzw. den Autor

Gerrit van Dijk, Leiden University, Netherlands