Download E-books Fourier Analysis on Finite Groups and Applications (London Mathematical Society Student Texts) PDF

By Audrey Terras

This ebook supplies a pleasant advent to Fourier research on finite teams, either commutative and noncommutative. geared toward scholars in arithmetic, engineering and the actual sciences, it examines the idea of finite teams in a fashion either obtainable to the newbie and compatible for graduate study. With functions in chemistry, error-correcting codes, information research, graph concept, quantity thought and likelihood, the e-book provides a concrete method of summary crew idea via utilized examples, photos and laptop experiments. the writer divides the publication into components. within the first half, she parallels the advance of Fourier research at the actual line and the circle, after which strikes directly to analog of upper dimensional Euclidean house. the second one half emphasizes matrix teams resembling the Heisenberg team of higher triangular 2x2 matrices with 1's down the diagonal and entries in a finite box. The publication concludes with an creation to zeta services on finite graphs through the hint formulation.

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