Screen LibraryDiscrete harmonic analysis : representations, number theory, expanders, and the Fourier transform /
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| Main Authors: | |
|---|---|
| Group Author: | ; |
| Published: |
Cambridge University Press,
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| Publisher Address: | Cambridge, United Kingdom : |
| Publication Dates: | 2018. |
| Literature type: | Book |
| Language: | English |
| Series: |
Cambridge studies in advanced mathematics ;
172 |
| Subjects: | |
| Carrier Form: | xiii, 573 pages : illustrations ; 24 cm. |
| Bibliography: | Includes bibliographical references (pages 555-562) and index. |
| ISBN: |
9781107182332 1107182336 |
| Index Number: | QA403 |
| CLC: | O174.2 |
| Call Number: | O174.2/C387-1 |
| Contents: | Part. I Finite Abelian groups and the DFT .Finite Abelian groups ; The Fourier transform on finite Abelian groups ; Dirichlet's theorem on primes in arithmetic progressions ; Spectral analysis of the DFT and number theory ; The Fast Fourier Transform -- pt. II Finite fields and their characters. Finite fields ; Character theory of finite fields -- pt. III Graphs and expanders. Graphs and their products ; Expanders and Ramanujan graphs -- pt. IV Harmonic analysis on finite linear groups ; Representation theory of finite groups ; Induced representations and Mackey theory ; Fourier analysis on finite affine groups and finite Heisenberg groups ; Hecke algebras and multiplicity-free triples ; Representation theory of GL(2, Fq) |