Fourier Analysis on Finite Groups and Applications
(Part of the London Mathematical Society Student Texts Series)
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Book Overview
This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and noncommutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner both accessible to the beginner and suitable for graduate research. With applications in chemistry, error-correcting codes, data analysis, graph theory, number theory and probability, the book presents a concrete approach to abstract group theory through applied examples, pictures and computer experiments. The author divides the book into two parts. In the first part, she parallels the development of Fourier analysis on the real line and the circle, and then moves on to analog of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices with 1's down the diagonal and entries in a finite field. The book concludes with an introduction to zeta functions on finite graphs via the trace formula.
Format:Paperback
Language:English
ISBN:0521457181
ISBN13:9780521457187
Release Date:January 2008
Publisher:Cambridge University Press
Length:456 Pages
Weight:1.40 lbs.
Dimensions:1.0" x 6.0" x 9.0"
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