Results 111 to 120 of about 491,660 (153)

Strichartz inequality for orthonormal functions associated with Dunkl Laplacian and Hermite-Schr\"{o}dinger operators

open access: yes, 2022
Strichartz inequality for the solutions of free Schr\"odinger equation associated with Dunkl Hermite operator $H_\kappa$ is generalized to any system of orthonormal functions with initial data. A relation between the kernels of Schr\"odinger propagators (
Senapati, P Jitendra Kumar   +1 more
core  

Radial mollifiers, mean value operators and harmonic functions in Dunkl theory [PDF]

open access: yes, 2016
In this paper we show how to use mollifiers to regularise functions relative to a set of Dunkl operators in R d with Coxeter-Weyl group W , multiplicity function k and weight function ω k.
Gallardo, Léonard, Rejeb, Chaabane
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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

q-Analogue of the Dunkl Transform on the Real Line

open access: yes, 2016
[[abstract]]In this paper, we consider a q-analogue of the Dunkl operator on R, we dene and study its associated Fourier transform which is a q- analogue of the Dunkl transform.
Rym Bettaieb, Neji Bettaibi
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PROPERTIES OF THE GENERALIZED DUNKL OPERATOR [PDF]

open access: yesВестник Башкирского университета, 2018
A. I. Rakhimova, V. V. Napalkov
openaire   +1 more source

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