Arithmetical investigations: representation theory, orthogonal polynomials, and quantum interpolations / Shai M. J. Haran

Auteur: Haran, Shai M. J. - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1941Langue: anglaisÉditeur: Berlin : Springer, 2008 ISBN: 9783540783787 ISSN: 1617-9692Note: ... In contrast to the usual line of research in number theory and non-archimedean analysis, the author looks at real counterparts of natural p-adic constructions, and then introduces q-structures interpolating between them. The starting point is the relation between p-adic analysis and analysis on trees. ... (Zentralblatt) Sujets MSC: 11S80 Number theory -- Algebraic number theory: local and p-adic fields -- Other analytic theory
11S85 Number theory -- Algebraic number theory: local and p-adic fields -- Other nonanalytic theory
33D80 Special functions (33-XX deals with the properties of functions as functions) -- Basic hypergeometric functions -- Connections with quantum groups, Chevalley groups, p-adic groups, Hecke algebras, and related topics
43A05 Abstract harmonic analysis -- Abstract harmonic analysis -- Measures on groups and semigroups, etc
60B15 Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Probability measures on groups or semigroups, Fourier transforms, factorization
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... In contrast to the usual line of research in number theory and non-archimedean analysis, the author looks at real counterparts of natural p-adic constructions, and then introduces q-structures interpolating between them. The starting point is the relation between p-adic analysis and analysis on trees. ... (Zentralblatt)

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