Results 21 to 30 of about 2,908 (161)
The total angular momentum algebra related to the $\mathrm{S}_3$ Dunkl Dirac equation [PDF]
, 2017 We consider the symmetry algebra generated by the total angular momentum operators, appearing as constants of motion of the $\mathrm{S}_3$ Dunkl Dirac equation.
De Bie, Hendrik +2 more
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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 +3 more
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A Bochner Theorem for Dunkl Polynomials [PDF]
, 2011 We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions.
Vinet, Luc, Zhedanov, Alexei
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Abstract and Applied Analysis, 2010 We consider the generalized shift operator, associated with the Dunkl operator Λ𝛼(𝑓)(𝑥)=(𝑑/𝑑𝑥)𝑓(𝑥)+((2𝛼+1)/𝑥)((𝑓(𝑥)−𝑓(−𝑥))/2), 𝛼>−1/2. We study the boundedness of the Dunkl-type fractional maximal operator 𝑀𝛽 in the Dunkl-type Morrey space 𝐿𝑝,𝜆,𝛼(ℝ), 0 ...
Emin Guliyev +2 more
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Comptes Rendus. Mathématique, 2023 Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
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Dunkl Translation and Uncentered Maximal Operator on the Real Line
International Journal of Mathematics and Mathematical Sciences, 2007 We establish estimates of the Dunkl translation of the characteristic function χ[−ɛ,ɛ], ɛ>0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type (1,1).
Chokri Abdelkefi, Mohamed Sifi
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Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings
Journal of Function Spaces, 2021 In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators Hα,φ on the Dunkl-type homogeneous weighted Herz spaces K̇α,qβ,pℝ and Dunkl Herz-type ...
Faouaz Saadi, Othman Tyr, Radouan Daher
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A NOTE FOR THE DUNKL-CLASSICAL POLYNOMIALS
Проблемы анализа, 2022 In this paper, we give a new characterization for the Dunkl-classical orthogonal polynomials. The previous characterization has been illustrated by some examples.
Y. Habbachi, B. Bouras
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The Dunkl convolution operators and multipoint de la Vallee–Poussin problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The Dunkl operator as an object of mathematical physics is considered, we study the kernel and the surjectivity of Dunkl convolution operators in the space of entire functions and the space of entire functions of exponential type.
Karina Raisovna Zabirova +1 more
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Sonine Transform Associated to the Dunkl Kernel on the Real Line
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We consider the Dunkl intertwining operator V_α and its dual ^tV_α, we define and study the Dunkl Sonine operator and its dual on R. Next, we introduce complex powers of the Dunkl Laplacian Δ_α and establish inversion formulas for the Dunkl Sonine ...
Fethi Soltani
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