Results 11 to 20 of about 168 (113)

Un analogue d'un théorème de Hardy pour la transformation de Dunkl [PDF]

Comptes Rendus. Mathématique, 2002
On donne dans cette Note une généralisation d'un théorème de Hardy pour la transformation de Dunkl ℱ D sur R
Léonard Gallardo, Khalifa Trimèche
core   +4 more sources

A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS [PDF]

Ural Mathematical Journal, 2023
In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
doaj   +3 more sources

$q$-Analogue of the Dunkl transform on the real line [PDF]

, 2007
20 pages.
Bettaibi, Néji, bettaieb, Rym H.
openaire   +3 more sources

A Generalized Fourier Transform and a Smooth Analogue of Dunkl Operators [PDF]

We introduce a deformation of the Fourier transform on $\mathbb{R}^N$ arising from a representation-theoretic construction associated with $\widetilde{SL}(2,\mathbb{R}) \times O(N)$ that still admits an underlying degree-one operator structure. More precisely, we construct a generalized Fourier transform $\mathcal{F}_b$, a non-local deformation $H_b ...
Temma Aoyama
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A Bochner Theorem for Dunkl Polynomials [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions.
Luc Vinet, Alexei Zhedanov
doaj   +3 more sources

Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials [PDF]

Journal of Function Spaces, 2020
The purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators.
Md. Nasiruzzaman, A. F. Aljohani
doaj   +2 more sources

Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials [PDF]

Journal of Function Spaces, 2020
The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials.
Md. Nasiruzzaman, A. F. Aljohani
doaj   +2 more sources

An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform

, 2010
We establish an analogue of Beurling-Hörmander’s theorem for the Dunkl-Bessel transform FD,B on R(d+1,+). We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price and Morgan theorems on R(d+1,+) by using the heat kernel associated to the Dunkl-Bessel-Laplace operator.
Hatem Mejjaolı
openaire   +2 more sources

On the Approximation by Bivariate Szász–Jakimovski–Leviatan-Type Operators of Unbounded Sequences of Positive Numbers

Mathematics, 2023
In this paper, we construct the bivariate Szász–Jakimovski–Leviatan-type operators in Dunkl form using the unbounded sequences αn, βm and ξm of positive numbers.
Abdullah Alotaibi
doaj   +1 more source

Hardy's theorem and rotation for Dunkl transform [PDF]

, 2021
We extend Hardy's theorem for rotation due to Lakey and Hogan for Dunkl transform associated with the reflection group (Formula presented.) in (Formula presented.) by using Dunkl-Hermite semigroup.
Dogga, Venku Naidu, Sarathi Patra, Partha   +1 more
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