Results 61 to 70 of about 243,897 (100)
Dunkl positive denite functions
, 2017 [[abstract]]We introduce the notion of Dunkl positive definite and strictly positive definite functions on R^d. This done by the use of the properties of Dunkl translation. We establish the analogue of Bochner's theorem in Dunkl setting.
Khaled Mehrezz, Jamel El Kamel
core
Boundedness of Multidimensional Dunkl-Hausdorff Operators
, 2020 In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
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A Study of Symmetric q-Dunkl-Classical Orthogonal q-Polynomials Through a Second Structure Relation
This paper establishes a new characterization of symmetric q-Dunkl-classical orthogonal polynomials through a second structure relation. These symmetric polynomials generalize the q2-analogues of Hermite and Gegenbauer polynomials.
Khalid Ali Alanezy, Jihad Souissi
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Solution of Integral Equations by Dunkl and Distributional Dunkl Transform
, 2018 The paper investigates the Dunkl transform and distributional Dunkl transform and the basic properties as convolution. The integral equations such as Volterra integral equation of first and second kind and Abel integral equation are solved by using dunkl
Deshna Loonker
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Dunkl approach to slice regular functions [PDF]
In this paper, we establish a connection between Dunkl analysis and slice analysis in the setting of Clifford algebras. Specifically, we show that a Clifford algebra-valued function is slice if, and only if, it belongs to the kernel of the Dunkl ...
De Bie, Hendrik +2 more
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Inversion Formulas for the Spherical Radon-Dunkl Transform [PDF]
, 2009 The spherical Radon-Dunkl transform R_κ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics.
Futao Song, Zhongkai Li
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On the images of Dunkl–Sobolev spaces under the Schrödinger semigroup associated to Dunkl operators
, 2017 In this article, we consider the Schrödinger semigroup related to the Dunkl–Laplacian Δμ (associated to finite reflection group G) on Rn. We characterize the image of L2(Rn,eu2hμ(u)du) under the Schrödinger semigroup as a reproducing kernel Hilbert space.
D, Sukumar +2 more
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Dunkl operators: Theory and applications
, 2003 These lecture notes are intended as an introduction to the theory of rational Dunkl operators and the associated special functions, with an emphasis on positivity and asymptotics.
Rosler, M., Koelink, Erik
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Approaching Bilinear Multipliers via a Functional Calculus. [PDF]
J Geom Anal, 2018 Wróbel B.
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LA-ICP-MS U-Pb zircon geochronology data of the Early to Mid-Miocene syn-extensional massive silicic volcanism in the Pannonian Basin (East-Central Europe). [PDF]
Data Brief, 2018 Lukács R +5 more
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