Results 111 to 120 of about 454,230 (160)
On modified Dunkl generalization of Szász operators via q-calculus. [PDF]
Mursaleen M, Nasiruzzaman M, Alotaibi A.
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Hilbert Transforms Associated with Dunkl-Hermite Polynomials
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
Relativistic quantum heat engine from uncertainty relation standpoint. [PDF]
Chattopadhyay P, Paul G.
europepmc +1 more source
A Refinement of the Robertson-Schrödinger Uncertainty Principle and a Hirschman-Shannon Inequality for Wigner Distributions. [PDF]
Dias NC, de Gosson MA, Prata JN.
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Two characterizations of Sheffer-Dunkl sequences [PDF]
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
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An explicit transition density expansion for a multi-allelic Wright-Fisher diffusion with general diploid selection. [PDF]
Steinrücken M, Wang YX, Song YS.
europepmc +1 more source
Locally learning biomedical data using diffusion frames. [PDF]
Ehler M, Filbir F, Mhaskar HN.
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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
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
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Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
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

