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Aspects Of Harmonic Analysis On Locally Compact Abelian Groups by Jean H Gallier (Univ Of Pennsylvania, Usa) at Abbey's Bookshop,
Aspects Of Harmonic Analysis On Locally Compact Abelian Groups
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Jean H Gallier (Univ Of Pennsylvania, Usa) Jocelyn Quaintance (University Of Pennsylvania, Usa)

Aspects Of Harmonic Analysis On Locally Compact Abelian Groups

Jean H Gallier (Univ Of Pennsylvania, Usa),  Jocelyn Quaintance (University Of Pennsylvania, Usa)

$529.95   $424.32

Hardback

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English
World Scientific Publishing Co Pte Ltd
18 July 2024
Mathematical foundations
Series: Mathematical Foundations For Computer Vision, Machine Learning, And Robotics
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.
By:   , ,
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
Volume:   1
ISBN:   9789811291715
ISBN 10:   9811291713
Series:   Mathematical Foundations For Computer Vision, Machine Learning, And Robotics
Pages:   760
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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