Results 21 to 30 of about 508 (52)
Amenability properties of the central Fourier algebra of a compact group
We let the central Fourier algebra, ZA(G), be the subalgebra of functions u in the Fourier algebra A(G) of a compact group, for which u(xyx^{-1})=u(y) for all x,y in G.
Alaghmandan, Mahmood, Spronk, Nico
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Generalized classical and quantum signal theories on hypergroups. Part 1. Clasical signal theory [PDF]
In this paper we develop generalized nonharmonic analysis of signals and images on commutative hypergroups, associated with arbitrary unitary (orthogonal) transforms.
Chasovskikh, V. P. +2 more
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Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials
In the theory of orthogonal polynomials, as well as in its intersection with harmonic analysis, it is an important problem to decide whether a given orthogonal polynomial sequence $(P_n(x))_{n\in\mathbb{N}_0}$ satisfies nonnegative linearization of ...
Kahler, Stefan
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New results on the continuous Weinstein wavelet transform. [PDF]
Mejjaoli H, Ould Ahmed Salem A.
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Book Review: The harmonic analysis of probability measures on hypergroups [PDF]
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W. R. Bloom and H. Heyer Harmonic analysis of probability measures on hypergroups (de Gruyter Studies in Mathematics Vol. 20, de Gruyter, Berlin, New York 1995) vi + 601pp., 3 11 012105 0, about £140. [PDF]
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ハイパー群Hとその部分ハイパー群H_{0}のペア(H, H_{0})に付随して得られるハイパー群mathcal{K}(hat{H}cuphat{H_{0}})について考察する。mathcal{K}(hat{H}cuphat{H_{0}})のconvolutionは既約表現の誘導と制限を用いて与える. ここでは、次の3つのケースについて説明する. (A) compact groups. (B) compact hypergroups. (C) commutative hypergroups. ハイパー群(hypergroup)は、局所コンパクト群を確率論的に一般化した概念であり、表現論との関連では、コンパクト群の双対がハイパー群の構造を持っている。素粒子(純粋状態)を群の既約表現と解釈する時 ...
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Harmonic Analysis and Hypergroups
1998An underlying theme in this text is the notion of hypergroups, the theory of which has been developed and used in fields as diverse as special functions, differential equations, probability theory, representation theory, measure theory, Hopf algebras, and quantum groups.
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HARMONIC ANALYSIS ON HYPERGROUPS
AIP Conference Proceedings, 2010The main task in this article is to give the necessary and sufcient conditions guarantees that the product of two positive definite functions defined on a hypergroup X is also positive definite on X. Also, we prove that a continuous function with compact support ψ is negative definite if and only if exp(‐tψ) is positive definite for each t>0. Moreover,
A. S. Okb El Bab, Hossam. A. Ghany
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