Aspects Harmonic Analysis on Locally Compact Abelian Groups
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Book Overview The Fourier transform is a "tool" used in engineering and computer vision to model periodic phenomena. Starting with the basics of measur...
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.
Book Details Format: Hardcover | Pages: 747 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811291713
FormatHardcover
Pages747
LanguageEnglish
ISBN9811291713
EAN9789811291715
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date2024-07-24
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight2.59 Pounds
Length9.0 Inches
Width6.0 Inches
Height1.56 Inches
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