Results 81 to 90 of about 2,908 (161)

Dunkl operators and a family of realizations of sop(1|2) [PDF]

open access: yes, 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
core   +1 more source

Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularity

open access: yes, 2010
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

open access: yesJournal of Geophysical Research: Biogeosciences, Volume 129, Issue 6, June 2024.
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

Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials

open access: yesJournal of Function Spaces, 2020
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

open access: yes, 2019
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

open access: yesJournal of Geophysical Research: Earth Surface, Volume 129, Issue 4, April 2024.
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

Heavy‐Mineral Grain Counting: Counting Techniques, Error Estimation, and the Number of Grains to be Counted

open access: yesJournal 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

Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
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

open access: yesMathematische 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
wiley   +1 more source

SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS

open access: yesKorean Journal of Mathematics, 2016
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

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