ISBN-10:
0521883369
ISBN-13:
9780521883368
Pub. Date:
03/06/2008
Publisher:
Cambridge University Press
Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains

Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains

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Product Details

ISBN-13: 9780521883368
Publisher: Cambridge University Press
Publication date: 03/06/2008
Series: Cambridge Studies in Advanced Mathematics , #108
Edition description: New Edition
Pages: 454
Product dimensions: 6.30(w) x 9.21(h) x 0.98(d)

About the Author

Tullio Ceccherini-Silberstein is Professor of Mathematical Analysis in the Department of Engineering at the Università del Sannio, Benevento.

Fabio Scarabotti is Professor of Mathematical Analysis in the Department of Mathematics at the Università degli Studi di Roma 'La Sapienza'.

Filippo Tolli is Assistant Professor of Mathematical Analysis in the Department of Mathematics at the Università Roma Tre.

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.

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