Results 31 to 40 of about 491,660 (153)

Supersymmetric Wigner–Dunkl quantum mechanics

Results in Physics, 2022
Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where the commutator between canonical momentum and position operators contains in addition a reflection operator.
Shi-Hai Dong, Won Sang Chung, Georg Junker, Hassan Hassanabadi   +3 more
doaj   +1 more source

The Dunkl intertwining operator

Journal of Functional Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maslouhi, M., Youssfi, E.H.
openaire   +1 more source

Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers

Journal of Function Spaces, 2021
In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function.
Abdullah Alotaibi
doaj   +1 more source

Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials with applications to series involving zeros of Bessel functions [PDF]

, 2018
We introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line.
Pérez, Mario, Varona, Juan L., Mario Pérez, Durán, A.J. [0000-0002-8351-7392], Óscar Ciaurri, Antonio J. Durán, Varona, J.L. [0000-0002-2023-9946], Ciaurri, Óscar, Pérez, M. [0000-0002-3050-3712], Durán, Antonio J., Ciaurri, Ó. [0000-0002-1695-3311], Juan L. Varona   +11 more
core   +1 more source

Dunkl-Sobolev spaces of exponential type and applications

Journal of Function Spaces and Applications, 2011
We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved.
Hatem Mejjaoli
doaj   +1 more source

Paley and Hardy's inequalities for the Fourier-Dunkl expansions [PDF]

Arab Journal of Mathematical Sciences
Purpose – Paley's and Hardy's inequality are proved on a Hardy-type space for the Fourier–Dunkl expansions based on a complete orthonormal system of Dunkl kernels generalizing the classical exponential system defining the classical Fourier series. Design/
Anis Elgarna
doaj   +1 more source

Boundedness of the pseudo-differential operators generated by 1D-Dunkl operator

Қарағанды университетінің хабаршысы. Математика сериясы
This article is devoted to the study of pseudo-differential operators generated by Dunkl operators, focusing primarily on their boundedness properties.
B. Bekbolat, N. Tokmagambetov
doaj   +1 more source

Approximation on a class of Szász–Mirakyan operators via second kind of beta operators

Journal of Inequalities and Applications, 2020
In the present article, we construct a new sequence of positive linear operators via Dunkl analogue of modified Szász–Durrmeyer operators. We study the moments and basic results.
M. Nasiruzzaman, Nadeem Rao, Anshul Srivastava, Ravi Kumar   +3 more
doaj   +1 more source

On the Dunkl intertwining operator

Journal of Mathematical Analysis and Applications, 2017
Dunkl operators are differential-difference operators parametrized by a finite reflection group and a weight function. The commutative algebra generated by these operators generalizes the algebra of standard differential operators and intertwines with this latter by the so-called intertwining operator.
openaire   +3 more sources

Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting

International Journal of Mathematics and Mathematical Sciences, 2010
We study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋα,∞p.
A. Gasmi, F. Soltani
doaj   +1 more source