Results 41 to 50 of about 2,832 (120)
First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes [PDF]
, 2008 We provide two equivalent approaches for computing the tail distribution of the first hitting time of the boundary of the Weyl chamber by a radial Dunkl process. The first approach is based on a spectral problem with initial value.
Demni, Nizar
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The Dunkl-Coulomb problem in the plane [PDF]
, 2014 The Dunkl-Coulomb system in the plane is considered. The model is defined in terms of the Dunkl Laplacian, which involves reflection operators, with a $r^{-1}$ potential. The system is shown to be maximally superintegrable and exactly solvable.
Genest, Vincent X. +2 more
core
Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions
, 2014 We study potential operators associated with Laguerre function expansions of convolution and Hermite types, and with Dunkl-Laguerre expansions. We prove qualitatively sharp estimates of the corresponding potential kernels.
Nowak, Adam, Stempak, Krzysztof
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Dunkl Operators: Theory and Applications [PDF]
, 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. We start with an outline of the general concepts: Dunkl operators, the intertwining operator, the Dunkl kernel and the Dunkl transform.
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Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
doaj +1 more source
Michigan Mathematical Journal, 2008 We attach elliptic Dunkl operators to an abelian variety with a finite group action. This generalizes elliptic Dunkl operators for Weyl groups, defined by Buchstaber, Felder, and Veselov in 1994. We show that these operators commute, and use them to define representations from category O of elliptic Cherednik algebras.
Etingof, Pavel, Ma, Xiaoguang
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Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators
, 1997 Based on the theory of Dunkl operators, this paper presents a general concept of multivariable Hermite polynomials and Hermite functions which are associated with finite reflection groups on $\b R^N$.
Rösler, Margit
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The tetrahexahedric angular Calogero model [PDF]
, 2015 The spherical reduction of the rational Calogero model (of type $A_{n-1}$ and after removing the center of mass) is considered as a maximally superintegrable quantum system, which describes a particle on the $(n{-}2)$-sphere subject to a very particular ...
Correa, Francisco, Lechtenfeld, Olaf
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Markov Processes Related with Dunkl Operators
Advances in Applied Mathematics, 1998 Dunkl operators are differential-difference operators associated with a finite reflection group, acting on some Euclidean space, and they can be regarded as a generalization of partial derivatives and play a major role in the theory of quantum many-body systems.
Rösler, Margit, Voit, Michael
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The Hahn superalgebra and supersymmetric Dunkl oscillator models
, 2013 A supersymmetric extension of the Hahn algebra is introduced. This quadratic superalgebra, which we call the Hahn superalgebra, is constructed using the realization provided by the Dunkl oscillator model in the plane, whose Hamiltonian involves ...
Genest, Vincent X. +3 more
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