Results 41 to 50 of about 160 (141)
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
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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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Basin Research, Volume 37, Issue 5, September–October 2025.We show that including provenance ages in thermochronometry modelling is key to arriving at a single consistent model explaining our complex dataset. With our approach, we reconcile previous studies on the northern Swiss Molasse Basin and contribute to the discussion of exhumation drivers. ABSTRACT Dispersed single‐grain ages are a common phenomenon in
Kevin A. Frings +4 more
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Markov Processes Related with Dunkl Operators
Advances in Applied Mathematics, 1998 Dunkl operators are differential-difference operators associated with a finite reflection group, acting on some Euclidean space, and they can be regarded as a generalization of partial derivatives and play a major role in the theory of quantum many-body systems.
Rösler, Margit, Voit, Michael
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Laguerre semigroup and Dunkl operators [PDF]
Compositio Mathematica, 2012 AbstractWe construct a two-parameter family of actionsωk,aof the Lie algebra 𝔰𝔩(2,ℝ) by differential–difference operators on ℝN∖{0}. Herekis a multiplicity function for the Dunkl operators, anda>0 arises from the interpolation of the two 𝔰𝔩(2,ℝ) actions on the Weil representation ofMp(N,ℝ) and the minimal unitary representation of O(N+1,2). We prove
Ben Saïd, Salem +2 more
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Australian continental‐scale heavy mineral patterns track climate, weathering and erosion
Sedimentology, Volume 72, Issue 5, Page 1430-1452, August 2025.ABSTRACT The heavy mineral cargo of sediment is influenced by a complex and variable overprint of climate and environmental processes acting on weathered crystalline basement sources. Here, a continental‐scale heavy mineral compositional dataset of 1315 surface sediment samples, analysed via automated mineralogy, from across Australia is utilized to ...
Maximilian Dröllner +4 more
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A Fractional Laplacian and Its Extension Problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9840-9852, June 2025.ABSTRACT In this paper, we establish four equivalent characterizations of the fractional Laplacian operator (−‖x‖Δk)σ$$ {\left(-\left\Vert x\right\Vert {\Delta}_k\right)}^{\sigma } $$ with 0<σ<1$$ 0<\sigma <1 $$, in some class of functions on ℝd$$ {\mathbb{R}}^d $$.
Salem Ben Said, Selma Negzaoui
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Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt)
International Journal of Analysis and Applications, 2015 In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh’s theorem for the Dunkl transform for functions satisfying the (φ,p)-Lipschitz Jacobi-Dunkl condition in the space Lp(R,Aα,β(t)dt),α ≥ β ≥−1/2,
R. Daher, S. El Ouadih, A. Belkhadir
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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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