Results 61 to 70 of about 2,908 (161)
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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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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The Hahn superalgebra and supersymmetric Dunkl oscillator models
, 2013 A supersymmetric extension of the Hahn algebra is introduced. This quadratic superalgebra, which we call the Hahn superalgebra, is constructed using the realization provided by the Dunkl oscillator model in the plane, whose Hamiltonian involves ...
Genest, Vincent X. +3 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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Hardy inequalities with Bessel pair for Dunkl operator
Advanced Nonlinear StudiesUsing the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan +2 more
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Fractional Supersymmetric Hermite Polynomials
Mathematics, 2020 We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator.
Fethi Bouzeffour, Wissem Jedidi
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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
A new structure of an integral operator associated with trigonometric Dunkl settings
Advances in Difference Equations, 2021 In this paper, we discuss a generalization to the Cherednik–Opdam integral operator to an abstract space of Boehmians. We introduce sets of Boehmians and establish delta sequences and certain class of convolution products. Then we prove that the extended
Shrideh Khalaf Al-Omari +2 more
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Mathematics, 2023 In this paper, we construct the bivariate Szász–Jakimovski–Leviatan-type operators in Dunkl form using the unbounded sequences αn, βm and ξm of positive numbers.
Abdullah Alotaibi
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