Results 41 to 50 of about 1,609 (94)
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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Dunkl operators and a family of realizations of sop(1|2) [PDF]
, 2012 In this paper, a family of radial deformations of the realization of the Lie superalgebra osp(1 vertical bar 2) in the theory of Dunkl operators is obtained. This leads to a Dirac operator depending on 3 parameters.
De Bie, Hendrik +3 more
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Uncertainty principles for integral operators
, 2012 The aim of this paper is to prove new uncertainty principles for an integral operator $\tt$ with a bounded kernel for which there is a Plancherel theorem. The first of these results is an extension of Faris's local uncertainty principle which states that
Ghobber, Saifallah, Jaming, Philippe
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A $q$-analogue of the type $A$ Dunkl operator and integral kernel
, 1997 LaTeX 2.09, 15 ...
Baker, T. H., Forrester, P. J.
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Tectonics, Volume 44, Issue 3, March 2025.Abstract We use new and published detrital zircon U‐Pb data (n > 10,000) from Oligocene‐Pliocene strata of intermontane basins of the western Colombian Andes and surrounding regions to study the evolution of sedimentary systems during the transition from arc collision/accretion to subduction.
Santiago León +5 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
On fundamental harmonic analysis operators in certain Dunkl and Bessel settings
, 2013 We consider several harmonic analysis operators in the multi-dimensional context of the Dunkl Laplacian with the underlying group of reflections isomorphic to $\mathbb{Z}_2^n$ (also negative values of the multiplicity function are admitted).
Castro, Alejandro J., Szarek, Tomasz Z.
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Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
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On the Integral Representations for Dunkl Kernels of Type A2
Journal of Lie Theory, 2016 We give an explicit integral formula for the Dunkl kernel associated to root system of type $A_2$ and parameter $k>0$, by exploiting recent result in [1].
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Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel [PDF]
Pacific Journal of Mathematics, 2004 Dunkl operators on \(\mathbb{R}^d\) generalize the classical partial derivatives; they generate a commutative algebra of differential-difference operators. Due to the work of Dunkl, Opdam, de Jeu, Rösler and others, it is well-known that there exist associated Dunkl kernels and Dunkl transforms (generalizing the classical exponentials and Fourier ...
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