Fourier Analysis on Finite Groups and Applications
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Fourier Analysis on Finite Groups and Applications by Audrey Terras
Book DescriptionThis book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner that is 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. In the first part, the author parallels the development of Fourier analysis on the real line and the circle, and then moves on to analogues of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices. The book concludes with an introduction to zeta functions on finite graphs via the trace formula.
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Book DetailsISBN: 9780521457187
(228mm x 152mm x 26mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Mar-1999
Country of Publication: United Kingdom
Books By Author Audrey Terras
Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations, Hardback (April 2016)
Zeta Functions of Graphs, Hardback (November 2010)» View all books by Audrey Terras
Combinatorics meets number theory in this stimulating stroll through the zetas. Includes well-chosen illustrations and exercises, both theoretical and computer-based.
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