Harmonic analysis on finite groups : representation theory, Gelfand pairs and Markov chains /
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| Author / Creator: | Ceccherini-Silberstein, Tullio. |
|---|---|
| Imprint: | Cambridge : Cambridge University Press, 2008. |
| Description: | xiii, 440 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Cambridge studies in advanced mathematics ; 108 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6688264 |
Table of Contents:
- Part I. Preliminaries, Examples and Motivations
- 1. Finite Markov chains
- 2. Two basic examples on Abelian groups
- Part II. Representation Theory and Gelfand Pairs
- 3. Basic representation theory of finite groups
- 4. Finite Gelfand pairs
- 5. Distance regular graphs and the Hamming scheme
- 6. The Johnson Scheme and the Laplace-Bernoulli diffusion model
- 7. The ultrametric space
- Part III. Advanced theory
- 8. Posets and the q-analogs
- 9. Complements on representation theory
- 10. Basic representation theory of the symmetric group
- 11. The Gelfand Pair (S2n, S2 o Sn) and random matchings
- Appendix 1. The discrete trigonometric transforms
- Appendix 2. Solutions of the exercises
- Bibliography
- Index