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Discrete Harmonic Analysis

Discrete Harmonic Analysis

Representations, Number Theory, Expanders, and the Fourier Transform

Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli

Cambridge University Press
Publication date : 2018-06-21

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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.

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About the book

Author

Tullio Ceccherini-Silberstein , Fabio Scarabotti , Filippo Tolli

Imprint

Cambridge University Press

Collection

n.c

Publication date

2018-06-21

Pages

n.c

Print ISBN

9781107182332

Language

English

Ebook informations

EAN PDF

9781316865408

Price

£91.78

Copy count 0

Print count 0

File size 12780 Ko

Informations accessibility

EAN EPUB

9781316863657

Price

£91.78

Copy count 0

Print count 0

File size 51128 Ko

Informations accessibility

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About author(s)

Tullio Ceccherini-Silberstein

Fabio Scarabotti

Filippo Tolli

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