Results 81 to 90 of about 2,908 (161)
Dunkl operators and a family of realizations of sop(1|2) [PDF]
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
core +1 more source
Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularity
We study Hochschild (co)homology groups of the Dunkl operator quantization of $\Z_2$-singularity constructed by Halbout and Tang. Further, we study traces on this algebra and prove a local algebraic index formula.Comment: 26 pages.
Ramadoss, Ajay, Tang, Xiang
core +1 more source
Causal Drivers of Land‐Atmosphere Carbon Fluxes From Machine Learning Models and Data
Abstract Interactions among atmospheric, root‐soil, and vegetation processes drive carbon dioxide fluxes (Fc) from land to atmosphere. Eddy covariance measurements are commonly used to measure Fc at sub‐daily timescales and validate process‐based and data‐driven models.
Mozhgan A. Farahani, Allison E. Goodwell
wiley +1 more source
The purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators.
Md. Nasiruzzaman, A. F. Aljohani
doaj +1 more source
A discrete realization of the higher rank Racah algebra
In previous work a higher rank generalization $R(n)$ of the Racah algebra was defined abstractly. The special case of rank one encodes the bispectrality of the univariate Racah polynomials and is known to admit an explicit realization in terms of the ...
De Bie, Hendrik, van de Vijver, Wouter
core +1 more source
How to Quantify Heavy Mineral Fertility From Point‐Counting Data
Abstract Heavy minerals (HM) are widely used in provenance studies, for example, for reconstructing source areas and quantifying sediment budgets. Source rock mineral fertility influences the composition and concentration of HM in sediments. The resulting bias is of particular interest when interpreting single‐grain data such as detrital age ...
L. Stutenbecker +7 more
wiley +1 more source
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
In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual $^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{−1}$ and $^tV_k^{−1}$, and we give some ...
Khalifa Trimèche
doaj +1 more source
A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting
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
wiley +1 more source
SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS
Summary: In this paper, we characterize the support for the Dunkl transform on the generalized Lebesgue spaces via the Dunkl resolvent function. The behavior of the sequence of \(L^p_k-\) norms of iterated Dunkl potentials is studied depending on the support of their Dunkl transform.
openaire +2 more sources

