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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Haran, Shai M. J. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Lecture Notes in Mathematics,
Temas:
Number theory.
Number Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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