Results 41 to 50 of about 2,888 (114)
Australian continental‐scale heavy mineral patterns track climate, weathering and erosion
Sedimentology, Volume 72, Issue 5, Page 1430-1452, August 2025.ABSTRACT The heavy mineral cargo of sediment is influenced by a complex and variable overprint of climate and environmental processes acting on weathered crystalline basement sources. Here, a continental‐scale heavy mineral compositional dataset of 1315 surface sediment samples, analysed via automated mineralogy, from across Australia is utilized to ...
Maximilian Dröllner +4 more
wiley +1 more source
A Fractional Laplacian and Its Extension Problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9840-9852, June 2025.ABSTRACT In this paper, we establish four equivalent characterizations of the fractional Laplacian operator (−‖x‖Δk)σ$$ {\left(-\left\Vert x\right\Vert {\Delta}_k\right)}^{\sigma } $$ with 0<σ<1$$ 0<\sigma <1 $$, in some class of functions on ℝd$$ {\mathbb{R}}^d $$.
Salem Ben Said, Selma Negzaoui
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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
core +1 more source
, 2009 The real theory of the Dunkl operators has been developed very extensively, while there still lacks the corresponding complex theory. In this paper we introduce the complex Dunkl operators for certain Coxeter groups. These complex Dunkl operators have the commutative property, which makes it possible to establish a corresponding complex analysis of ...
Ren, Guangbin, Malonek, Helmuth R.
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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
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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Laguerre semigroup and Dunkl operators [PDF]
Compositio Mathematica, 2012 AbstractWe construct a two-parameter family of actionsωk,aof the Lie algebra 𝔰𝔩(2,ℝ) by differential–difference operators on ℝN∖{0}. Herekis a multiplicity function for the Dunkl operators, anda>0 arises from the interpolation of the two 𝔰𝔩(2,ℝ) actions on the Weil representation ofMp(N,ℝ) and the minimal unitary representation of O(N+1,2). We prove
Ben Saïd, Salem +2 more
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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