Arithmetical Investigations : Representation Theory, Orthogonal Polynomials, and Quantum Interpolations
In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The p-adic numbers contain the p-adic integers Zp which are the inverse limit of the finite rings Z/pn. This gives rise to a tree, and probability measures w on Zp corr...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Autres auteurs: | |
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2008. |
| Collection: | Lecture Notes in Mathematics
1941 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 223 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Arithmetical investigations, representation theory, orthogonal polynomials, and quantum interpolations, Shai M.J. Haran, Berlin, Springer, 2008, 1 vol. (XII-217 p.), Lecture notes in mathematics, 978-3-540-78378-7 • Arithmetical Investigations, Texte imprimé, 9783540849216 • Arithmetical investigations, representation theory, orthogonal polynomials, and quantum interpolations, Shai M.J. Haran, Berlin, Springer, 2008, 1 vol. (XII-217 p.), Lecture notes in mathematics, 978-3-540-78378-7 |
Table des matières:
- Introduction: Motivations from Geometry Gamma and Beta Measures Markov Chains Real Beta Chain and q-Interpolation Ladder Structure q-Interpolation of Local Tate Thesis Pure Basis and Semi-Group Higher Dimensional Theory Real Grassmann Manifold p-Adic Grassmann Manifold q-Grassmann Manifold Quantum Group Uq(su(1, 1)) and the q-Hahn Basis.