Results 61 to 70 of about 2,871 (158)
On the algebra of symmetries of Laplace and Dirac operators [PDF]
, 2018 We consider a generalization of the classical Laplace operator, which includes the Laplace-Dunkl operator defined in terms of the differential-difference operators associated with finite reflection groups called Dunkl operators.
De Bie, Hendrik +2 more
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On the Dunkl intertwining operator
Journal of Mathematical Analysis and Applications, 2017 Dunkl operators are differential-difference operators parametrized by a finite reflection group and a weight function. The commutative algebra generated by these operators generalizes the algebra of standard differential operators and intertwines with this latter by the so-called intertwining operator.
openaire +3 more sources
Corrosion of zirconium‐based refractories in glass‐contact areas: Mechanisms and challenges
International Journal of Applied Ceramic Technology, Volume 22, Issue 3, May/June 2025.Abstract Zirconium‐based refractories are essential materials in the glass industry due to their outstanding properties including high refractoriness, good thermal shock resistance, and high corrosion resistance with respect to contact with the molten glass, making them suitable for use in critical parts of glass melting furnaces, such as the bottom ...
Cristian Perez Velasquez +2 more
wiley +1 more source
A discrete realization of the higher rank Racah algebra
, 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
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Positivity of Dunkl’s intertwining operator
Duke Mathematical Journal, 1999 For a finite reflection group on $\b R^N,$ the associated Dunkl operators are parametrized first-order differential-difference operators which generalize the usual partial derivatives. They generate a commutative algebra which is - under weak assumptions - intertwined with the algebra of partial differential operators by a unique linear and homogeneous
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Dimension‐free square function estimates for Dunkl operators
Mathematische Nachrichten, 2022 AbstractDunkl operators may be regarded as differential‐difference operators parameterized by finite reflection groups and multiplicity functions. In this paper, the Littlewood–Paley square function for Dunkl heat flows in is introduced by employing the full “gradient” induced by the corresponding carré du champ operator and then the boundedness is ...
Li, Huaiqian, Zhao, Mingfeng
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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
wiley +1 more source
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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Besov-Type Spaces on R^d and Integrability for the Dunkl Transform
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution.
Chokri Abdelkefi +3 more
doaj +1 more source
Orthogonal Laurent Polynomials of Two Real Variables
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT In this paper, we consider an appropriate ordering of the Laurent monomials xiyj$x^{i}y^{j}$, i,j∈Z$i,j \in \mathbb {Z}$ that allows us to study sequences of orthogonal Laurent polynomials of the real variables x$x$ and y$y$ with respect to a positive Borel measure μ$\mu$ defined on R2$\mathbb {R}^2$ such that ({x=0}∪{y=0})∩supp(μ)=∅$(\lbrace ...
Ruymán Cruz‐Barroso, Lidia Fernández
wiley +1 more source