Aspects of Harmonic Analysis on Locally Compact Abelian Groups

Name: Aspects of Harmonic Analysis on Locally Compact Abelian Groups
Brand: World Scientific Publishing Company
SKU: 65726827
Availability: InStock

Part of the Wonderful World Books Series

$199.28

Select Format

Hardcover Out of Stock

Select Format Format: Hardcover Select Conditions Condition: New

Selected

Format: Hardcover

Condition: New

$199.28

Quantity

148 Available

Select Conditions

New $199.28

See All Editions

Book Overview

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.