Results 31 to 40 of about 1,609 (94)
The total angular momentum algebra related to the $\mathrm{S}_3$ Dunkl Dirac equation [PDF]
, 2017 We consider the symmetry algebra generated by the total angular momentum operators, appearing as constants of motion of the $\mathrm{S}_3$ Dunkl Dirac equation.
De Bie, Hendrik +2 more
core +3 more sources
On a vector-valued Hopf-Dunford-Schwartz lemma [PDF]
, 2011 In this paper, we state as a conjecture a vector-valued Hopf-Dunford-Schwartz lemma and give a partial answer to it. As an application of this powerful result, we prove some Fe fferman-Stein inequalities in the setting of Dunkl analysis where the ...
Charpentier, Stéphane, Deleaval, Luc
core +3 more sources
Variation Diminishing Convolution Kernels Associated with Dunkl operator [PDF]
, 2020 Harmonic analysis associated with the Dunkl operator in one dimension was developed by many authors. Here we use these results to prove theorems analogous to those Schoenberg [9], and I.I. Hirschman [5] on variation diminishing convolution kernels.
MONCEF DZIRI, Ali Ben bettaieb
openaire +1 more source
Journal of Metamorphic Geology, Volume 44, Issue 2, Page 112-137, February 2026.ABSTRACT Rutile provides a wealth of petrochronological information in metamorphic geology and due to its high stability during processes of the sedimentary cycle, rutile takes a special position in sedimentary provenance analysis. Besides being one of the classical minerals datable using the U–Pb system, rutile incorporates a broad range of trace ...
Jan Schönig +9 more
wiley +1 more source
Sedimentology, Volume 73, Issue 2, Page 418-440, February 2026.ABSTRACT The early Cambrian transgression that flooded continental margins worldwide produced extensive sedimentary records that archive valuable information about palaeogeography and basin dynamics. This study integrates detrital zircon U–Pb geochronology and wholerock geochemistry from the Myeonsan and Myobong formations of the basal Taebaek Group ...
Hyojong Lee +2 more
wiley +1 more source
Bispectrality of the Complementary Bannai-Ito Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to a q→−1 limit of the Askey-Wilson ...
Vincent X. Genest +2 more
doaj +1 more source
Laplace-type Integral Representations of the Generalized Bessel Function and of the Dunkl Kernel of Type B2 [PDF]
Moscow Mathematical Journal, 2017 In this paper, we derive a Laplace-type integral representations for both the generalized Bessel function and the Dunkl kernel associated with the rank-two root system of type B_2. The derivation of the first one elaborates on the integral representation of the generalized Bessel function proved in \cite{Demni} through the modified Bessel function of ...
Amri, Bechir, Demni, Nizar
openaire +4 more sources
Approximation and Orthogonality on Fully Symmetric Domains
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
wiley +1 more source
Vector-Valued Polynomials and a Matrix Weight Function with B2-Action
Symmetry, Integrability and Geometry: Methods and Applications, 2013 The structure of orthogonal polynomials on $mathbb{R}^{2}$ with the weight function $vert x_{1}^{2}-x_{2}^{2}vert ^{2k_{0}}vertx_{1}x_{2}vert ^{2k_{1}}e^{-( x_{1}^{2}+x_{2}^{2})/2}$ is based on the Dunkl operators of type $B_{2}$.
Charles F. Dunkl
doaj +1 more source
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley +1 more source