Results 41 to 50 of about 454,230 (160)
Sobolev-type inequalities for Dunkl operators [PDF]
Journal of Functional Analysis, 2020 Section 6 significantly rewritten, also corrected some ...
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Dunkl generalization of Szász beta‐type operators [PDF]
Mathematical Methods in the Applied Sciences, 2017 The goal in the paper is to advertise Dunkl extension of Szász beta‐type operators. We initiate approximation features via acknowledged Korovkin and weighted Korovkin theorem and obtain the convergence rate from the point of modulus of continuity, second‐order modulus of continuity, the Lipschitz class functions, Peetre's K‐functional, and modulus of ...
Bayram Çekim +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2014 Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}
M. El Hamma, H. Lahlali, R. Daher
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User Perceptions of Endearment Love and Regional Identity in Northern England
World Englishes, EarlyView.ABSTRACT This article explores the contemporary pragmatic scope of the endearment love and its indexical links with British regional identities as perceived by English language users in the United Kingdom. Popular metapragmatic stereotypes often associate the term with specific ‘northern’ English, working‐class and White socio‐ethnic identities ...
Nicole Baumgarten
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Besov-type spaces for the Dunkl operator on the real line [PDF]
, 2007 In this paper we shall introduce functions spaces as subspaces of Lp that we call Besov–Dunkl spaces. We provide characterizations of these spaces involving Bochner–Riesz means associated to the Dunkl operator and partial Dunkl ...
Kamoun, Lotfi
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Advances in Mathematical Physics, 2022 In this paper, we establish some new generalized results on the equivalence of K-functionals and modulus of continuity of functions defined on the Sobolev space Lα,β2ℝ, by using the harmonic analysis related to the Jacobi-Dunkl operator Δα,β, where α≥β ...
Ali El Mfadel +2 more
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Generalised spin Calogero–Moser systems from Cherednik algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Integrable spin Calogero–Moser type systems with non‐symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.
Misha Feigin +2 more
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Michigan Mathematical Journal, 2008 We attach elliptic Dunkl operators to an abelian variety with a finite group action. This generalizes elliptic Dunkl operators for Weyl groups, defined by Buchstaber, Felder, and Veselov in 1994. We show that these operators commute, and use them to define representations from category O of elliptic Cherednik algebras.
Etingof, Pavel, Ma, Xiaoguang
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Reproducing kernels for Dunkl polyharmonic polynomials [PDF]
, 2012 summary:In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree $n$ and Dunkl polyharmonic of degree $m$, i.e.
Touahri, Kamel
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Advancing Fractional Riesz Derivatives through Dunkl Operators
Mathematics, 2023 The aim of this work is to introduce a novel concept, Riesz–Dunkl fractional derivatives, within the context of Dunkl-type operators. A particularly noteworthy revelation is that when a specific parameter κ equals zero, the Riesz–Dunkl fractional ...
Fethi Bouzeffour
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