Results 101 to 110 of about 454,230 (160)

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 ...
openaire   +3 more sources

Dunkl approach to slice regular functions [PDF]

In this paper, we establish a connection between Dunkl analysis and slice analysis in the setting of Clifford algebras. Specifically, we show that a Clifford algebra-valued function is slice if, and only if, it belongs to the kernel of the Dunkl ...
De Bie, Hendrik, Lian, Pan, Binosi, Giulio   +2 more
core   +2 more sources

Imaginary Powers of the Dunkl Harmonic Oscillator

Symmetry, Integrability and Geometry: Methods and Applications, 2009
In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z_2^d. We prove that imaginary powers of this operator are bounded on L^p, 1 < p < ∞, and from L^1
Adam Nowak, Krzysztof Stempak
doaj   +1 more source

Integro-differential-difference equations associated with the Dunkl operator and entire functions [PDF]

, 2004
summary:In this work we consider the Dunkl operator on the complex plane, defined by $$ \Cal D_k f(z)=\frac{d}{dz}f(z)+k\frac{f(z)-f(-z)}{z}, k\geq 0.
Kallel, Samir, Salem, Néjib Ben
core   +1 more source

The Diffusion Equation Involving the Dunkl–Laplacian Operator in a Punctured Domain

Fractal and Fractional
The purpose of this paper is to establish solvability results for both direct and inverse problems associated with the diffusion equation involving the Dunkl–Laplacian operator in a punctured domain.
Bayan Bekbolat, Gulzat Nalzhupbayeva, Niyaz Tokmagambetov   +2 more
doaj   +1 more source

A Dunkl type generalization of Szász operators via post-quantum calculus. [PDF]

J Inequal Appl, 2018
Alotaibi A, Nasiruzzaman M, Mursaleen M.
europepmc   +1 more source

A generalized Dunkl type modifications of Phillips operators. [PDF]

J Inequal Appl, 2018
Nasiruzzaman M, Rao N.
europepmc   +1 more source

Maximal operator in Dunkl-Fofana spaces

Advances in Pure and Applied Mathematics, 2021
POKOU NAGACY, JUSTIN FEUTO
doaj   +1 more source

SHARP CONDITIONS FOR WEIGHTED INTEGRABILITY OF q-DUNKL FOURIER TRANSFORMS

Проблемы анализа
We obtain sufficient conditions for the weighted inte grability of the q-Dunkl Fourier transforms of functions from gen eralized integral Lipschitz classes. In the L^2 case, we prove the sharpness of these conditions.
S. S. Volosivets
doaj   +1 more source

Approaching Bilinear Multipliers via a Functional Calculus. [PDF]

J Geom Anal, 2018
Wróbel B.
europepmc   +1 more source