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

Informationen zum Autor Tullio Ceccherini-Silberstein is Professor of Mathematical Analysis in the Department of Engineering at the Università del Sannio, Benevento. Klappentext Self-contained text, ideal for graduate students new to the area and researchers. Zusammenfassung Line up a deck of 52 cards on a table. How many switches are needed in order to mix up the deck? This graduate-level book develops the mathematical tools to answer such questions! including the representation theory of finite groups! Markov chains! and the noncommutative version of the classical Fourier analysis. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Tullio Ceccherini-Silberstein, Tullio Scarabotti Ceccherini-Silberstein, Fabio Scarabotti, Fabio (Universit... degli Studi di Roma 'La Sapienza' Scarabotti, Fabio (Universita degli Studi di Roma 'La Sapienza' Scarabotti, Filippo Tolli, Filippo (Universit... degli Studi Roma Tre) Tolli, Filippo (Universita degli Studi Roma Tre) Tolli
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 06.03.2008
• EAN: 9780521883368
• ISBN: 978-0-521-88336-8
• Pagine: 454
• Serie: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi