An introduction to the uncertainty principle: Hardy's theorem on Lie groups / Sundaram Thangavelu

Auteur: Thangavelu, Sundaram (1957-) - AuteurType de document: Livre numériqueCollection: Progress in mathematics ; 217Langue: anglaisÉditeur: Basel : Birkhäuser, cop. 2004 ISBN: 0817643303 Note: Publisher’s description: Motivating this interesting monograph is the development of a number of analogs of Hardy’s theorem in settings arising from noncommutative harmonic analysis. This is the central theme of this work. Specifically, it is devoted to connections among various theories arising from abstract harmonic analysis, concrete hard analysis, Lie theory, special functions, and the very interesting interplay between the noncompact groups that underlie the geometric objects in question and the compact rotation groups that act as symmetries of these objects. ... (zbMath) Sujets MSC: 43A80 Abstract harmonic analysis -- Abstract harmonic analysis -- Analysis on other specific Lie groups
33C45 Special functions (33-XX deals with the properties of functions as functions) -- Hypergeometric functions -- Orthogonal polynomials and functions of hypergeometric type
33C55 Special functions (33-XX deals with the properties of functions as functions) -- Hypergeometric functions -- Spherical harmonics
42C10 Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
43A20 Abstract harmonic analysis -- Abstract harmonic analysis -- L1-algebras on groups, semigroups, etc
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Publisher’s description: Motivating this interesting monograph is the development of a number of analogs of Hardy’s theorem in settings arising from noncommutative harmonic analysis. This is the central theme of this work. Specifically, it is devoted to connections among various theories arising from abstract harmonic analysis, concrete hard analysis, Lie theory, special functions, and the very interesting interplay between the noncompact groups that underlie the geometric objects in question and the compact rotation groups that act as symmetries of these objects. ... (zbMath)

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