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Discrete harmonic analysis = represe...

Ceccherini-Silberstein, Tullio.

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Discrete harmonic analysis = representations, number theory, expanders, and the fourier transform /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete harmonic analysis/ Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
Reminder of title:	representations, number theory, expanders, and the fourier transform /
Author:	Ceccherini-Silberstein, Tullio.
other author:	Scarabotti, Fabio.
Published:	Cambridge :Cambridge University Press, : 2018.,
Description:	xiii, 573 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 20 Jun 2018).
Subject:	Harmonic analysis. -
Online resource:	https://doi.org/10.1017/9781316856383
ISBN:	9781316856383

Discrete harmonic analysis = representations, number theory, expanders, and the fourier transform /
Ceccherini-Silberstein, Tullio.

Discrete harmonic analysisrepresentations, number theory, expanders, and the fourier transform /[electronic resource] :Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. - Cambridge :Cambridge University Press,2018. - xiii, 573 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;172. - Cambridge studies in advanced mathematics ;172..

Title from publisher's bibliographic system (viewed on 20 Jun 2018).

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.

ISBN: 9781316856383Subjects--Topical Terms:

555704
Harmonic analysis.

LC Class. No.: QA403 / .C4285 2018

Dewey Class. No.: 515.2433

Discrete harmonic analysis = representations, number theory, expanders, and the fourier transform /
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100 1 $a Ceccherini-Silberstein, Tullio. $3 1245241
245 1 0 $a Discrete harmonic analysis $h [electronic resource] : $b representations, number theory, expanders, and the fourier transform / $c Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
260 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a xiii, 573 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 172
500 $a Title from publisher's bibliographic system (viewed on 20 Jun 2018).
520 $a 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.
650 0 $a Harmonic analysis. $3 555704
650 0 $a Fourier transformations. $3 533900
650 0 $a Finite groups. $3 532025
650 0 $a Finite fields (Algebra) $3 579167
700 1 $a Scarabotti, Fabio. $3 1299008
700 1 $a Tolli, Filippo, $d 1968- $3 1299009
830 0 $a Cambridge studies in advanced mathematics ; $v 172. $3 3470461
856 4 0 $u https://doi.org/10.1017/9781316856383