Book
Mathematical Foundations for Computer Vision, Machine Learning, and Robotics Volume 2: Aspects of Representation Theory and Noncommutative Harmonic Analysis
ISBN : 9789819810819
Author : Jean Gallier
Publisher : World Scientific
Year : 2025
Language : English
Type : Book
Description : This book presents the theory of harmonic analysis for noncommutative compact groups. If G is a commutative locally compact group, there is a well-understood theory of harmonic analysis as discussed in Aspects of Harmonic Analysis on Locally Compact Abelian Groups. If G is not commutative, things are a lot tougher. In the special case of a compact group, there is a deep interplay between analysis and representation theory which was first discovered by Hermann Weyl and refined by Andre Weil. This book presents these seminal results of Weyl and Weil. Starting with the basics of representations theory, it presents the famous Peter–Weyl theorems and discusses Fourier analysis on compact groups
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