Results 51 to 60 of about 2,908 (161)
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
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
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
openaire +4 more sources
Markov Processes Related with Dunkl Operators
Advances in Applied Mathematics, 1998 Dunkl operators are differential-difference operators associated with a finite reflection group, acting on some Euclidean space, and they can be regarded as a generalization of partial derivatives and play a major role in the theory of quantum many-body systems.
Rösler, Margit, Voit, Michael
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Dirac Operators for the Dunkl Angular Momentum Algebra
Symmetry, Integrability and Geometry: Methods and Applications, 2022 We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements of the group algebra of the Pin cover of the Weyl group inherent to the rational Cherednik algebra. We prove an analogue of Vogan's conjecture for this family of operators and use this to show that the Dirac cohomology, when non-zero ...
Calvert, Kieran, De Martino, Marcelo
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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
Support properties of the intertwining and the mean value operators in Dunkl's analysis [PDF]
, 2016 In this paper we show that the Dunkl intertwining operator has a compact support which is invariant by the associated Coxeter-Weyl group. This property enables us to determine explicitely the support of the volume mean value operator, a fundamental tool ...
Gallardo, Léonard, Rejeb, Chaabane
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Orthogonal Symmetric Polynomials Associated with the Calogero Model
, 1997 The Calogero model is a one-dimensional quantum integrable system with inverse-square long-range interactions confined in an external harmonic well. It shares the same algebraic structure with the Sutherland model, which is also a one-dimensional quantum
Calogero F. +12 more
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Basin Research, Volume 37, Issue 5, September–October 2025.We show that including provenance ages in thermochronometry modelling is key to arriving at a single consistent model explaining our complex dataset. With our approach, we reconcile previous studies on the northern Swiss Molasse Basin and contribute to the discussion of exhumation drivers. ABSTRACT Dispersed single‐grain ages are a common phenomenon in
Kevin A. Frings +4 more
wiley +1 more source
Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt)
International Journal of Analysis and Applications, 2015 In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh’s theorem for the Dunkl transform for functions satisfying the (φ,p)-Lipschitz Jacobi-Dunkl condition in the space Lp(R,Aα,β(t)dt),α ≥ β ≥−1/2,
R. Daher, S. El Ouadih, A. Belkhadir
doaj +2 more sources