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...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Haran, Shai M. J. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Series:Lecture Notes in Mathematics,
Subjects:
Number theory.
Number Theory.
Online Access:Texto Completo
Table of Contents:
  • 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.

Similar Items