Results 111 to 120 of about 491,660 (153)
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
Approaching Bilinear Multipliers via a Functional Calculus. [PDF]
Wróbel B.
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.
europepmc +1 more source
Relativistic quantum heat engine from uncertainty relation standpoint. [PDF]
Chattopadhyay P, Paul G.
europepmc +1 more source
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
Radial mollifiers, mean value operators and harmonic functions in Dunkl theory [PDF]
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
core
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
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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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q-Analogue of the Dunkl Transform on the Real Line
[[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
core
PROPERTIES OF THE GENERALIZED DUNKL OPERATOR [PDF]
A. I. Rakhimova, V. V. Napalkov
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