Results 41 to 50 of about 2,908 (161)
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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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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Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]
, 2009 We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet transform on $\mathbb{R}$.
Mourou, Mohamed Ali
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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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Multiphysics‐Driven Assembly of Biomimetic Vesicles
Advanced Materials, Volume 38, Issue 13, 3 March 2026.Artificial extracellular vesicles, derived from cell membranes, are manufactured using a multiphysics‐integrated microfluidic platform that combines nanoknife membrane rupture, herringbone chaotic mixing, and acoustothermal modulation. This standardizable workflow enables the predictable control of vesicle formation and therapeutic loading, while ...
Timofei Solodko +16 more
wiley +1 more source
Sobolev-type inequalities for Dunkl operators [PDF]
Journal of Functional Analysis, 2020 Section 6 significantly rewritten, also corrected some ...
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Journal of Metamorphic Geology, Volume 44, Issue 2, Page 112-137, February 2026.ABSTRACT Rutile provides a wealth of petrochronological information in metamorphic geology and due to its high stability during processes of the sedimentary cycle, rutile takes a special position in sedimentary provenance analysis. Besides being one of the classical minerals datable using the U–Pb system, rutile incorporates a broad range of trace ...
Jan Schönig +9 more
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Further results for the Dunkl Transform and the generalized Ces\`aro operator [PDF]
, 2012 In this paper, we consider Dunkl theory on R^d associated to a finite reflection group. This theory generalizes classical Fourier anal- ysis. First, we give for 1 < p
Abdelkefi, Chokri, Rached, Faten
core
Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle [PDF]
, 2013 A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space $E$, and then a connection is also defined on this bundle.
Durdevich, Micho, Sontz, Stephen Bruce
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