Results 61 to 70 of about 491,660 (153)
Noncommutative Dunkl operators and braided Cherednik algebras
, 2009 We introduce braided Dunkl operators (del) under bar (1), ... ,(del) under bar (n) that act on a q-symmetric algebra S-q (C-n) and q-commute. Generalising the approach of Etingof and Ginzburg, we explain the q-commutation phenomenon by constructing ...
Bazlov, Yuri, Berenstein, Arkady
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Spectral Analysis of the Dunkl–Bessel Laplacian and Its Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we develop a concrete von Neumann spectral analysis of the Dunkl–Bessel Laplacian −Δκ,αW, considered through its maximal even distributional realization on Lκ,α2,ℝ+d+1. We first prove that this realization is nonnegative and self‐adjoint and that its spectrum coincides with its continuous spectrum and is equal to [0, +∞), whereas its ...
Abdelilah El Mourni +3 more
wiley +1 more source
Laguerre semigroup and Dunkl operators [PDF]
Compositio Mathematica, 2012 Abstract We construct a two-parameter family of actions ω k , a of the Lie algebra 𝔰𝔩(2,ℝ) by differential–difference operators on ℝ
Ben Saïd, Salem +2 more
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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
Elektronenspinresonanz an einzelnen Molekülen
Angewandte Chemie, Volume 137, Issue 37, September 8, 2025.Dieser Minireview gibt einen Überblick über die vier Elektronenspinresonanz‐Techniken mit Einzelmolekül‐Empfindlichkeit, die entweder auf optisch detektierter Magnetresonanz oder Rastersondenmikroskopie basieren. Nach der Einführung der zugrunde liegenden gemeinsamen Konzepte wird ein Überblick über die jeweiligen Arbeitsprinzipien, experimentellen ...
Lisanne Sellies, Jascha Repp
wiley +1 more source
Stancu-type generalization of Dunkl analogue of Szasz-Kantorovich operators
, 2016 The purpose of the paper is to introduce Stancu-type linear positive operators generated by Dunkl generalization of exponential function. We present approximation properties with the help of well-known Korovkin-type theorem and weighted Korovkin-type ...
ÇEKİM, BAYRAM, Icoz, Guerhan
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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
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
, 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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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