Results 111 to 120 of about 454,230 (160)

On modified Dunkl generalization of Szász operators via q-calculus. [PDF]

open access: yesJ Inequal Appl, 2017
Mursaleen M, Nasiruzzaman M, Alotaibi A.
europepmc   +1 more source

Hilbert Transforms Associated with Dunkl-Hermite Polynomials

open access: yesSymmetry, 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

Two characterizations of Sheffer-Dunkl sequences [PDF]

open access: yes
Sheffer polynomials can be characterized using different Stieltjes integrals. These families of polynomials have been recently extended to the Dunkl context.
Ceniceros, Judit Minguez   +1 more
core   +1 more source

Locally learning biomedical data using diffusion frames. [PDF]

open access: yesJ Comput Biol, 2012
Ehler M, Filbir F, Mhaskar HN.
europepmc   +1 more source

Dunkl-Schr\"odinger operators

open access: yes, 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

Dunkl operators: Theory and applications

open access: yes, 2018
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
openaire   +1 more source

Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line

open access: yes, 2006
We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces.
Gasmi, A., Sifi, M., Soltani, F.
core  

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