Results 61 to 70 of about 454,230 (160)
Approximation and Orthogonality on Fully Symmetric Domains
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
wiley +1 more source
Generalised symmetries and bases for Dunkl monogenics [PDF]
, 2023 We introduce a family of commuting generalised symmetries of the Dunkl--Dirac operator inspired by the Maxwell construction in harmonic analysis. We use these generalised symmetries to construct bases of the polynomial null-solutions of the Dunkl--Dirac ...
De Bie, Hendrik +3 more
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Hardy inequalities with Bessel pair for Dunkl operator
Advanced Nonlinear StudiesUsing the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan +2 more
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Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
Symmetry, Integrability and Geometry: Methods and Applications, 2013 In this paper, we introduce a new differential-difference operator T_ξ (ξ∈R^N) by using projections associated to orthogonal subsystems in root systems.
Fethi Bouzeffour
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Generalized Spectral Projections for the Weinstein Laplacian and Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we investigate the generalized spectral projections associated with the Weinstein Laplacian −ΔdW,α. We first derive an explicit integral formula for these projections and prove that they are intrinsically linked to the spectral density of −ΔdW,α, which endows them with a natural spectral interpretation.
Abdelilah El Mourni +3 more
wiley +1 more source
Positivity of Dunkl’s intertwining operator
Duke Mathematical Journal, 1999 For a finite reflection group on $\b R^N,$ the associated Dunkl operators are parametrized first-order differential-difference operators which generalize the usual partial derivatives. They generate a commutative algebra which is - under weak assumptions - intertwined with the algebra of partial differential operators by a unique linear and homogeneous
openaire +4 more sources
Nuclear Physics BIn this paper, a generalized Dunkl-Fokker-Planck equation in (1+1) dimensions is formulated within a fractional calculus setting based on the Riemann-Liouville (RL) derivative.
Abdelmalek Bouzenada
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley +1 more source
Laguerre semigroup and Dunkl operators [PDF]
Compositio Mathematica, 2012 Abstract We construct a two-parameter family of actions ω k , a of the Lie algebra 𝔰𝔩(2,ℝ) by differential–difference operators on ℝ
Ben Saïd, Salem +2 more
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GENERALIZED DUNKL CONVOLUTION OPERATOR
, 2020 307-308В работе рассматривается обобщенный оператор Данкла и его свойства. Изучается построенный по нему оператор свертки.The paper considers the generalized Dunkl operator and its properties.
Рахимова Алсу Ильдаровна +1 more
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