Arithmetical investigations : representation theory, orthogonal polynomials, and quantum interpolations / Shai M. J. Haran
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1941Langue : anglais.Éditeur : Berlin : Springer, 2008ISBN: 9783540783787.ISSN: 1617-9692.Sujet MSC : 11S80, Algebraic number theory: local and p-adic fields, Other analytic theory11S85, Algebraic number theory: local and p-adic fields, Other nonanalytic theory
33D80, Special functions - Basic hypergeometric functions, Connections with quantum groupss, Chevalley groups, p-adic groups, Hecke algebras, and related topics
43A05, Abstract harmonic analysis, Measures on groups and semigroups, etc.
60B15, Probability theory on algebraic and topological structures, Probability measures on groups or semigroups, Fourier transforms, factorizationEn-ligne : Springerlink | Zentralblatt | MathSciNet
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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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