Results 31 to 40 of about 556,500 (120)
Nonlocal Operational Calculi for Dunkl Operators [PDF]
, 2009 The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied.
Dimovski, Ivan H., Hristov, Valentin Z.
core +5 more sources
Riesz distributions and Laplace transform in the Dunkl setting of type A [PDF]
Journal of Functional Analysis, 2019 We study Riesz distributions in the framework of rational Dunkl theory associated with root systems of type A. As an important tool, we employ a Laplace transform involving the associated Dunkl kernel, which essentially goes back to Macdonald [19], but ...
M. Rosler
semanticscholar +2 more sources
Laguerre semigroup and Dunkl operators [PDF]
, 2011 We construct a two-parameter family of actions \omega_{k,a} of the Lie algebra sl(2,R) by differential-difference operators on R^N \setminus {0}. Here, k is a multiplicity-function for the Dunkl operators, and a>0 arises from the interpolation of the ...
Bent Ørsted +16 more
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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
, 2010 We introduce the analogue of Dunkl processes in the case of an affine root system of type $\widetilde{\text{A}}_1$. The construction of the affine Dunkl process is achieved by a skew-product decomposition by means of its radial part and a jump process on
Chapon, Francois
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A lecture on the Calogero-Sutherland models
, 1994 In these lectures, I review some recent results on the Calogero-Sutherland model and the Haldane Shastry-chain. The list of topics I cover are the following: 1) The Calogero-Sutherland Hamiltonian and fractional statistics. The form factor of the density
A.P. Polychronakos +11 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
wiley +1 more source
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
wiley +1 more source
Corrosion of zirconium‐based refractories in glass‐contact areas: Mechanisms and challenges
International Journal of Applied Ceramic Technology, Volume 22, Issue 3, May/June 2025.Abstract Zirconium‐based refractories are essential materials in the glass industry due to their outstanding properties including high refractoriness, good thermal shock resistance, and high corrosion resistance with respect to contact with the molten glass, making them suitable for use in critical parts of glass melting furnaces, such as the bottom ...
Cristian Perez Velasquez +2 more
wiley +1 more source
Beurling’s Theorem for the Q-Fourier-Dunkl Transform
, 2021 The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using the heat kernel associated to the Q-Fourier-Dunkl operator, we establish an analogue of Beurling’s theorem for the Q-Fourier-
E. Loualid, A. Achak, R. Daher
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