ENGLISH

Discrete harmonic analysis: representations, number theory, expanders, and the Fourier transform

By Filippo , Ceccherini-Silberstein , Tullio; Scarabotti , Fabio; Tolli

Book information

Publisher
Cambridge University Press
Year
2018
ISBN
978-1-107-18233-2, 1107182336, 9781316856383
Language
english
Format
PDF
Filesize
3 MB (2683006 bytes)
Series
Cambridge studies in advanced mathematics 172
Pages
573\589
Topic
Mathematics Algebra
Library
kolxo3
Time added
2019-04-25 18:00:00

Description

Content: Part I. Finite Abelian Groups and the DFT: 1. Finite Abelian groups 2. The Fourier transform on finite Abelian groups 3. Dirichlet's theorem on primes in arithmetic progressions 4. Spectral analysis of the DFT and number theory 5. The fast Fourier transform Part II. Finite Fields and Their Characters: 6. Finite fields 7. Character theory of finite fields Part III. Graphs and Expanders: 8. Graphs and their products 9. Expanders and Ramanujan graphs Part IV. Harmonic Analysis of Finite Linear Groups: 10. Representation theory of finite groups 11. Induced representations and Mackey theory 12. Fourier analysis on finite affine groups and finite Heisenberg groups 13. Hecke algebras and multiplicity-free triples 14. Representation theory of GL(2,Fq).

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