Results 1 to 10 of about 508 (52)
Harmonic analysis and spectral synthesis in central hypergroups
Mathematische Annalen, 1988 A locally compact hypergroup K is called central if K/Z is compact where Z is the intersection of the maximal subgroup and the center of K. The dual space of K is shown to be a locally compact Hausdorff space. A Plancherel measure is defined that leads to a simple formulation of the Plancherel theorem and the inversion formula.
exaly +2 more sources
Harmonic analysis on central hypergroups and induced representations [PDF]
Pacific Journal of Mathematics, 1984 Wilfried Hauenschild, Eberhard Kaniuth
exaly +4 more sources
Harmonic analysis on compact hypergroups [PDF]
Pacific Journal of Mathematics, 1979 exaly +4 more sources
A Multiplier Theorem for Herz‐Type Hardy Spaces Associated with the Dunkl Transform
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The main purpose of this paper is to establish a Hörmander multiplier theorem for Herz‐type Hardy spaces associated with the Dunkl transform.
A. Gasmi, Julian López-Gómez
wiley +1 more source
Exponentially Convex Functions on Hypercomplex Systems
International Journal of Mathematics and Mathematical Sciences, Volume 2011, Issue 1, 2011., 2011 A hypercomplex system (h.c.s.) L1(Q, m) is, roughly speaking, a space which is defined by a structure measure (c(A, B, r), (A, B ∈ ℬ(Q))), such space has been studied by Berezanskii and Krein. Our main result is to define the exponentially convex functions (e.c.f.) on (h.c.s.), and we will study their properties.
Buthinah A. Bin Dehaish, Zayid Abdulhadi
wiley +1 more source
Non-commutative hypergroup of order five [PDF]
, 2015 We prove that all hypergroups of order four are commutative and that there exists a non-comutative hypergroup of order five. These facts imply that the minimum order of non-commutative hypergroups is five even though the minimum order of non-commutative ...
Matsuzawa, Yasumichi +4 more
core +2 more sources
Dunkl Translation and Uncentered Maximal Operator on the Real Line
International Journal of Mathematics and Mathematical Sciences, Volume 2007, Issue 1, 2007., 2007 We establish estimates of the Dunkl translation of the characteristic function χ[−ɛ,ɛ], ɛ > 0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type (1, 1). As a consequence, we obtain the Lp‐boundedness of this operator for 1 < p ≤ +∞.
Chokri Abdelkefi +2 more
wiley +1 more source
, 2020 An elegant and fruitful way to bring harmonic analysis into the theory of orthogonal polynomials and special functions, or to associate certain Banach algebras with orthogonal polynomials satisfying a specific but frequently satisfied nonnegative ...
Kahler, Stefan
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Generalized weighted Besov spaces on the Bessel hypergroup
Journal of Function Spaces, Volume 4, Issue 1, Page 91-111, 2006., 2006 In this paper we study generalized weighted Besov type spaces on the Bessel‐Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces.
Miloud Assal +2 more
wiley +1 more source
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian [PDF]
, 2014 We consider compact Grassmann manifolds $G/K$ over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type $BC$.
Rösler, Margit, Voit, Michael
core +7 more sources