Format:
1 online resource (xiii, 573 pages)
ISBN:
9781107182332
,
9781316856383
Series Statement:
Cambridge studies in advanced mathematics 172
Content:
This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups. Beginning with elementary material on algebra and number theory, the book then delves into advanced topics from the frontiers of current research, including spectral analysis of the DFT, spectral graph theory and expanders, representation theory of finite groups and multiplicity-free triples, Tao's uncertainty principle for cyclic groups, harmonic analysis on GL(2,Fq), and applications of the Heisenberg group to DFT and FFT. With numerous examples, figures, and over 160 exercises to aid understanding, this book will be a valuable reference for graduate students and researchers in mathematics, engineering, and computer science.
Note:
Title from publisher's bibliographic system (viewed on 20 Jun 2018)
Additional Edition:
ISBN 9781107182332
Additional Edition:
Ceccherini-Silberstein, Tullio, 1966 - Discrete harmonic analysis Cambridge : Cambridge University Press, 2018 ISBN 9781107182332
Additional Edition:
Print version ISBN 9781107182332
Language:
English
Subjects:
Mathematics
Keywords:
Harmonische Analyse
;
Zahlentheorie
;
Fourier-Transformierte
;
Graphentheorie
;
Diskrete Mathematik
DOI:
10.1017/9781316856383
URL:
Volltext
(lizenzpflichtig)
Author information:
Ceccherini-Silberstein, Tullio 1966-
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