Results 81 to 90 of about 2,871 (158)
Hilbert Transforms Associated with Dunkl-Hermite Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We consider expansions of functions in L^p(R,|x|^{2k}dx), 1 ≤ p < +∞ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl setting and study their ...
Néjib Ben Salem, Taha Samaali
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Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials
Journal of Function Spaces, 2020 The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials.
Md. Nasiruzzaman, A. F. Aljohani
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Dunkl operators at infinity and Calogero-Moser systems [PDF]
, 2013 We define the Dunkl and Dunkl-Heckman operators in infinite number of variables and use them to construct the quantum integrals of the Calogero-Moser-Sutherland problems at infinity.
Sergeev, A. N., Veselov, A. P.
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The singular and the 2:1 anisotropic Dunkl oscillators in the plane
, 2013 Two Dunkl oscillator models are considered: one singular and the other with a 2:1 frequency ratio. These models are defined by Hamiltonians which include the reflection operators in the two variables x and y.
Genest, Vincent X. +2 more
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Journal of Geophysical Research: Earth Surface, Volume 129, Issue 3, March 2024.Abstract Heavy‐mineral assemblages of sediments and sedimentary rocks record information regarding provenance, including the source rocks involved, tectonic setting, climatic conditions, and modifications from source to sink. Drawing conclusions on provenance and provenance changes requires robust quantification of individual heavy‐mineral species ...
Jan Schönig
wiley +1 more source
Best approximation of the Dunkl Multiplier Operators Tk,ℓ,m
International Journal of Analysis and Applications, 2015 We study some class of Dunkl multiplier operators Tk,ℓ,m; and we give for them an application of the theory of reproducing kernels to the Tikhonov regularization,which gives the best approximation of the operators Tk,ℓ,m on a Hilbert spaces Hskℓ.
Fethi Soltani
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A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting
Mathematische Nachrichten, Volume 297, Issue 2, Page 629-643, February 2024.Abstract On RN$\mathbb {R}^N$ equipped with a root system R, multiplicity function k≥0$k \ge 0$, and the associated measure dw(x)=∏α∈R|⟨x,α⟩|k(α)dx$dw(\mathbf {x})=\prod _{\alpha \in R}|\langle \mathbf {x},\alpha \rangle |^{k(\alpha )}\,d\mathbf {x}$, we consider a (nonradial) kernel K(x)${K}(\mathbf {x})$, which has properties similar to those from ...
Jacek Dziubański, Agnieszka Hejna
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Journal of Geophysical Research: Earth Surface, Volume 129, Issue 1, January 2024.Abstract Zircon U‐Pb‐He double dating (ZDD) provides the opportunity to derive high temperature crystallization ages and low temperature cooling ages from the very same mineral grain, making it especially attractive for zircon provenance studies. We present the combination of in situ detrital zircon U‐Pb‐He double dating and Raman spectroscopy‐based ...
I. Dunkl +4 more
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The class Bp for weighted generalized Fourier transform inequalities
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class Bp.
Chokri Abdelkefi, Mongi Rachdi
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Paley-Wiener theorems for the Dunkl transform
, 2005 We conjecture a geometrical form of the Paley-Wiener theorem for the Dunkl transform and prove three instances thereof, one of which involves a limit transition from Opdam's results for the graded Hecke algebra.
de Jeu, Marcel
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