Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli

Harmonic Analysis on Finite Groups

• Gebundenes Buch

Produktbeschreibung

Self-contained text, ideal for graduate students new to the area and researchers.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 456
• Erscheinungstermin: 6. März 2008
• Englisch
• Abmessung: 235mm x 157mm x 29mm
• Gewicht: 806g
• ISBN-13: 9780521883368
• ISBN-10: 0521883369
• Artikelnr.: 23527513

Autorenporträt

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

Inhaltsangabe

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.