نتایج جستجو برای: generalized dunkl translation

تعداد نتایج: 295440  

Journal: :Physica Scripta 2022

Abstract Dunkl derivative enriches solutions by discussing parity due to its reflection operator. Very recently, one of the authors this manuscript presented most general forms that depends on three Wigner parameters have a better tuning. In manuscript, we employ latter generalized in relativistic equation examine two dimensional harmonic and anharmonic oscillators solutions. We obtain Nikiforo...

Journal: :Physica D: Nonlinear Phenomena 2023

In the framework of theory Dunkl-deformed bosons, Bose-Einstein condensation two and three-dimensional Dunkl-boson gases confined in one-dimensional gravitational field is investigated. Using semi-classical approximation method, we calculate expressions Dunkl-critical temperature $T_{c}^{D}$, ground state population $\frac{N_{0}^{D}}{N}$ Dunkl-mean energy Dunkl-specific heat functions. Further ...

Journal: :Journal of Mathematical Sciences 2022

In 1961, Bargmann introduced the classical Fock space $$\mathscr {F}(\mathbb {C}^{d})$$ and in 1984, Cholewinsky generalized {F}_{\alpha ,e}(\mathbb . These two spaces are aim of many works, have applications mathematics, physics, quantum mechanics. this work, we introduce study }(\mathbb associated to Dunkl operators $$T_{\alpha _{j}}$$ with $$\alpha _{j}>-1/2$$ for all $$j=1,\ldots ,d$$ This ...

Journal: :Journal of Inequalities and Applications 2013

Journal: :International Journal of Mathematics and Mathematical Sciences 2007

2009
Chokri ABDELKEFI Jean-Philippe ANKER Mohamed SIFI

In this paper, we show the inclusion and the density of the Schwartz space in Besov–Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov–Dunkl space.

M. El hamma R. Daher S. El ouadih

In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.

2009
MOHAMED SIFI

In this article, we establish first a geometric Paley–Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the L p → L norm of Dunkl translations in dimension 1. Finally we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.

Journal: :Annals of Physics 2022

In this paper, three-dimensional Dunkl oscillator models are studied in a generalized form of superintegrable Euclidean Hamiltonian systems to curved ones. These defined based on Hamiltonians, which depend deformation parameter underlying space and involve reflection operators. The corresponding symmetries obtained by the Jordan–Schwinger representations family Cayley–Klein orthogonal algebras ...

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