Results 81 to 90 of about 160 (141)

Dunkl black hole with phantom global monopoles: geodesic analysis, thermodynamics and shadow

European Physical Journal C: Particles and Fields
We explore a static spherically symmetric black hole (BH) solution within the framework of Dunkl geometry, incorporating the effects of both ordinary and phantom global monopoles.
Ahmad Al-Badawi, Faizuddin Ahmed, İzzet Sakallı   +2 more
doaj   +1 more source

Dunkl shift operators and Bannai–Ito polynomials

Advances in Mathematics, 2012
35 pages, to be published in Adv ...
Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei   +2 more
openaire   +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

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

Dunkl analogue of Szász-mirakjan operators of blending type

Open Mathematics, 2018
In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal, Agrawal P.N., Araci Serkan   +2 more
doaj   +1 more source

Dunkl-Schr\"odinger operators

, 2018
In this paper, we consider the Schr\"odinger operators $L_k=-\Delta_k+V$, where $\Delta_k$ is the Dunkl-Laplace operator and $V$ is a non-negative potential on $R^d$. We establish that $L_k $ is essentially self-adjoint on $C_0^\infty$. In particular, we develop a bounded $H^\infty$-calculus on $L^p$ spaces for the Dunkl harmonic oscillator operator.
Hammi, Amel, Amri, Bechir
openaire   +1 more source

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.
openaire   +2 more sources

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

Hilbert Transforms Associated with Dunkl-Hermite Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We consider expansions of functions in L^p(R,|x|^{2k}dx), 1 ≤ p < +∞ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl setting and study their ...
Néjib Ben Salem, Taha Samaali
doaj   +1 more source

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