Results 31 to 40 of about 2,417,266 (139)
Beurling’s Theorem for the Q-Fourier-Dunkl Transform
Kragujevac Journal of Mathematics, 2021 The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using the heat kernel associated to the Q-Fourier-Dunkl operator, we establish an analogue of Beurling’s theorem for the Q-Fourier-Dunkl transform ℱQ on ℝ.
Loualid, El Mehdi +2 more
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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
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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
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Further results for the Dunkl Transform and the generalized Ces\`aro operator [PDF]
, 2012 In this paper, we consider Dunkl theory on R^d associated to a finite reflection group. This theory generalizes classical Fourier anal- ysis. First, we give for 1 < p
Abdelkefi, Chokri, Rached, Faten
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Riesz transforms for Dunkl Hermite expansions
Journal of Mathematical Analysis and Applications, 2015 In the present paper, we establish that Riesz transforms for Dunkl Hermite expansion as introduced in [4] are singular integral operators with Hörmander's type conditions and we show that are bounded on $L^p(\mathbb{R}^d; dμ_k) 1 < p < 1.
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An uncertainty principle for the Dunkl transform [PDF]
Bulletin of the Australian Mathematical Society, 1999 This note presents an analogue of the classical Heisenberg-Weyl uncertainty principle for the Dunkl transform on ℝN. Its proof is based on expansions with respect to generalised Hermite functions.
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$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
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On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces [PDF]
, 2006 2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable ...
Abdelkefi, Chokri, Sifi, Mohamed
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Grenzflächen‐Photoelektrochemie in der Organischen Synthese
Angewandte Chemie, Volume 137, Issue 42, October 13, 2025.Heterogene Photoelektroden sind für die Aktivierung von H2O und CO2 weit verbreitet, während homogene Photoelektrochemie mit molekularen Katalysatoren die Aktivierung komplexer Moleküle in der Synthese dominiert. Dennoch bietet Grenzflächen‐Photoelektrochemie (iPEC) ein großes Potenzial für die Synthese, einschließlich Kosteneffizienz ...
Gabriel Chan +4 more
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The Dunkl-Laplace transform and Macdonald’s hypergeometric series
Transactions of the American Mathematical Society, 2023 We continue a program generalizing classical results from the analysis on symmetric cones to the Dunkl setting for root systems of type A A
Brennecken, Dominik, Rösler, Margit
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