| 000 | 02481nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9781316856383 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160339.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 160524s2018||||enk o ||1 0|eng|d | ||
| 020 | _a9781316856383 (ebook) | ||
| 020 | _z9781107182332 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA403 _b.C4285 2018 |
| 082 | 0 | 0 |
_a515/.2433 _223 |
| 100 | 1 |
_aCeccherini-Silberstein, Tullio, _eauthor. |
|
| 245 | 1 | 0 |
_aDiscrete harmonic analysis : _brepresentations, number theory, expanders, and the fourier transform / _cTullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2018. |
|
| 300 |
_a1 online resource (xiii, 573 pages) : _bdigital, PDF file(s). |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aCambridge studies in advanced mathematics ; _v172 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 20 Jun 2018). | ||
| 520 | _aThis 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 | _aHarmonic analysis. | |
| 650 | 0 | _aFourier transformations. | |
| 650 | 0 | _aFinite groups. | |
| 650 | 0 | _aFinite fields (Algebra) | |
| 700 | 1 |
_aScarabotti, Fabio, _eauthor. |
|
| 700 | 1 |
_aTolli, Filippo, _d1968- _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781107182332 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v172. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/9781316856383 |
| 999 |
_c523351 _d523349 |
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