Results 81 to 90 of about 454,230 (160)
q-Analogue of the Dunkl Transform on the Real Line
, 2016 [[abstract]]In this paper, we consider a q-analogue of the Dunkl operator on R, we dene and study its associated Fourier transform which is a q- analogue of the Dunkl transform.
Rym Bettaieb, Neji Bettaibi
core
Orthogonal Laurent Polynomials of Two Real Variables
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT In this paper, we consider an appropriate ordering of the Laurent monomials xiyj$x^{i}y^{j}$, i,j∈Z$i,j \in \mathbb {Z}$ that allows us to study sequences of orthogonal Laurent polynomials of the real variables x$x$ and y$y$ with respect to a positive Borel measure μ$\mu$ defined on R2$\mathbb {R}^2$ such that ({x=0}∪{y=0})∩supp(μ)=∅$(\lbrace ...
Ruymán Cruz‐Barroso, Lidia Fernández
wiley +1 more source
A Remark on the Dunkl Differential—Difference Operators [PDF]
, 1991 Contains fulltext : 104006.pdf (Author’s version preprint ) (Open Access)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008 In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual $^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{−1}$ and $^tV_k^{−1}$, and we give some ...
Khalifa Trimèche
doaj +1 more source
Continuous −1$-1$ hypergeometric orthogonal polynomials
Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.Abstract The study of −1$-1$ orthogonal polynomials viewed as q→−1$q\rightarrow -1$ limits of the q$q$‐orthogonal polynomials is pursued. This paper presents the continuous polynomials part of the −1$-1$ analog of the q$q$‐Askey scheme. A compendium of the properties of all the continuous −1$-1$ hypergeometric polynomials and their connections is ...
Jonathan Pelletier +2 more
wiley +1 more source
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
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SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS
Korean Journal of Mathematics, 2016 Summary: In this paper, we characterize the support for the Dunkl transform on the generalized Lebesgue spaces via the Dunkl resolvent function. The behavior of the sequence of \(L^p_k-\) norms of iterated Dunkl potentials is studied depending on the support of their Dunkl transform.
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Dunkl Lipschitz functions for the Generalized Fourier-Dunkl Transform in the Space L2
International Journal of Analysis and Applications, 2015 In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Dunkl transform in the space L2 on certainclasses of functions.
R. Daher, S. El Ouadih, M. El Hamma
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, 1998 Notes of series of lectures held during the 1997 workshop ``Harmonic analysis on homogeneous spaces and representation of Lie groups'', RIMS, Kyoto ...
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