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A Remark on the Dunkl Differential—Difference Operators [PDF]
, 1991 Contains fulltext : 104006.pdf (Author’s version preprint ) (Open Access)
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Further results for the Dunkl Transform and the generalized Ces\`aro operator [PDF]
, 2012 In this paper, we consider Dunkl theory on R^d associated to a finite reflection group. This theory generalizes classical Fourier anal- ysis. First, we give for 1 < p
Abdelkefi, Chokri, Rached, Faten
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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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The wave equation for Dunkl operators
Indagationes Mathematicae, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ben Saïd, Salem, Ørsted, Bent
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Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators [PDF]
, 2006 2000 Mathematics Subject Classification: 35E45In this paper we study generalized Sobolev spaces H^sG of exponential type associated with the Dunkl operators based on the space G of test functions for generalized hyperfunctions and investigate their ...
Assal, Miloud, Bouguila, Raouya
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Dunkl operators and a family of realizations of sop(1|2) [PDF]
, 2012 In this paper, a family of radial deformations of the realization of the Lie superalgebra osp(1 vertical bar 2) in the theory of Dunkl operators is obtained. This leads to a Dirac operator depending on 3 parameters.
De Bie, Hendrik +3 more
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Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint. [PDF]
Entropy (Basel), 2021 Chattopadhyay P +3 more
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Oscillation inequalities for Carleson–Dunkl operator
Rendiconti del Circolo Matematico di Palermo Series 2Abstract In this paper, we establish estimates for the oscillation seminorm for the so-called Carleson–Dunkl operator on weighted $$L^p(\mathbb {R},w(x)|x|^{2\alpha +1}\textrm{d}x)$$ L p
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Inversion of the Dunkl Intertwining Operator and Its Dual Using Dunkl Wavelets
Rocky Mountain Journal of Mathematics, 2002 In \S1 of the paper, the author gives results on the Dunkl operators and on eigenfunction called the Dunkl kernel and then he defines the Dunkl intertwining operator \(V_k\) and its dual \({}^tV_k\) and mentions their main properties. In Sections 3 and 4, the harmonic analysis associated with Dunkl operators (Dunkl transform, Dunkl translation ...
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