Results 11 to 20 of about 491,660 (153)
Advancing Fractional Riesz Derivatives through Dunkl Operators
Mathematics, 2023 The aim of this work is to introduce a novel concept, Riesz–Dunkl fractional derivatives, within the context of Dunkl-type operators. A particularly noteworthy revelation is that when a specific parameter κ equals zero, the Riesz–Dunkl fractional ...
Fethi Bouzeffour
doaj +2 more sources
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.
Rosler, M., Koelink, Erik
core +5 more sources
Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
doaj +2 more sources
Markov Processes Related with Dunkl Operators [PDF]
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
openaire +3 more sources
Dunkl convolution and elliptic regularity for Dunkl operators
Mathematische NachrichtenAbstractWe discuss in which cases the Dunkl convolution of distributions , possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions. Based on this, we are able to prove a theorem on elliptic regularity for a certain class of Dunkl operators, called ...
Dominik Brennecken
openaire +4 more sources
Dunkl Generalization of q-Parametric Szasz-Mirakjan Operators [PDF]
International Journal of Analysis and Applications, 2017 In this paper, we construct q-parametric Szász-Mirakjan operators generated by the q-Dunkl generalization of the exponential function. We obtain Korovkin’s type approximation theorem and compute convergence of these operators by using the modulus of ...
M. Mursaleen +2 more
doaj +4 more sources
Best approximation of the Dunkl Multiplier Operators Tk,ℓ,m [PDF]
International Journal of Analysis and Applications, 2015 We study some class of Dunkl multiplier operators Tk,ℓ,m; and we give for them an application of the theory of reproducing kernels to the Tikhonov regularization,which gives the best approximation of the operators Tk,ℓ,m on a Hilbert spaces Hskℓ.
Fethi Soltani
doaj +3 more sources
The Fractional Dunkl Laplacian: Definition and Harmonization via the Mellin Transform
Mathematics, 2023 In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform.
Fethi Bouzeffour
doaj +1 more source
Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings
Journal of Function Spaces, 2021 In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators Hα,φ on the Dunkl-type homogeneous weighted Herz spaces K̇α,qβ,pℝ and Dunkl Herz-type ...
Faouaz Saadi, Othman Tyr, Radouan Daher
doaj +1 more source