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Aspects of Harmonic Analysis on Locally Compact Abelian Groups - Couverture rigide

Gallier, Jean H; Quaintance, Jocelyn

 
9789811291715: Aspects of Harmonic Analysis on Locally Compact Abelian Groups
Couverture rigide
ISBN 10 : 9811291713 ISBN 13 : 9789811291715
Editeur : World Scientific Publishing Co Pte Ltd, 2024

Synopsis

The Fourier transform is a 'tool' used in engineering and computer vision to model periodic phenomena. Starting with the basics of measure theory and integration, this book delves into the harmonic analysis of locally compact abelian groups. It provides an in-depth tour of the beautiful theory of the Fourier transform based on the results of Gelfand, Pontrjagin, and Andre Weil in a manner accessible to an undergraduate student who has taken linear algebra and introductory real analysis.Highlights of this book include the Bochner integral, the Haar measure, Radon functionals, the theory of Fourier analysis on the circle, and the theory of the discrete Fourier transform. After studying this book, the reader will have the preparation necessary for understanding the Peter-Weyl theorems for complete, separable Hilbert algebras, a key theoretical concept used in the construction of Gelfand pairs and equivariant convolutional neural networks.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2024
Langue
anglais
ISBN 10 
9811291713
ISBN 13 
9789811291715
Reliure
Relié
Nombre de pages
760
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne