Results 41 to 50 of about 491,660 (153)
Sobolev-type inequalities for Dunkl operators [PDF]
Journal of Functional Analysis, 2020 Section 6 significantly rewritten, also corrected some ...
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An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are obtained, such as a Rodrigues formula, a differential equation and an ...
Hendrik De Bie
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The Range of the Spectral Projection Associated with the Dunkl Laplacian
Journal of Function Spaces, 2020 For s∈ℝ, denote by Pksf the “projection” of a function f in Dℝd into the eigenspaces of the Dunkl Laplacian Δk corresponding to the eigenvalue −s2. The parameter k comes from Dunkl’s theory of differential-difference operators.
Salem Ben Said, Hatem Mejjaoli
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German Life and Letters, Volume 79, Issue 4, Page 517-536, October 2026.ABSTRACT Set in the fictional Austrian border town of Dunkelblum in the historically momentous summer of 1989, Eva Menasse's novel Dunkelblum (2021) is a polyphonic narrative recounting stories of the town's ‘sogenannten kleinen Leute’ and revolving around the dark core of a Nazi‐era atrocity.
Kylie Giblett
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Commutants of the Dunkl Operators in C(R) [PDF]
, 2006 The Dunkl ...
Hristov, Valentin +2 more
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On Some Inequalities in Normed Linear Spaces [PDF]
, 2007 Upper and lower bounds for the norm of a linear combination of vectors are given. Applications in obtaining various inequalities for the quantities ||x/||x|| - y/||y|| || and ||x/||y|| - y/||x|| ||, where x and y are nonzero vectors, that are related ...
Dragomir, Sever S
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Inversion Formulas for the Spherical Radon-Dunkl Transform
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The spherical Radon-Dunkl transform R_κ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics.
Zhongkai Li, Futao Song
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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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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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Dirac Operators for the Dunkl Angular Momentum Algebra
Symmetry, Integrability and Geometry: Methods and Applications, 2022 We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements of the group algebra of the Pin cover of the Weyl group inherent to the rational Cherednik algebra. We prove an analogue of Vogan's conjecture for this family of operators and use this to show that the Dirac cohomology, when non-zero ...
Calvert, Kieran, De Martino, Marcelo
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