Results 31 to 40 of about 233,071 (107)
Reproducing kernels for Dunkl polyharmonic polynomials [PDF]
, 2012 summary:In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree $n$ and Dunkl polyharmonic of degree $m$, i.e.
Touahri, Kamel
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A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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Bilinear biorthogonal expansions and the Dunkl kernel on the real line [PDF]
, 2012 We study an extension of the classical Paley–Wiener space structure, which is based on bilinear expansions of integral kernels into biorthogonal sequences of functions.
Varona, Juan Luis +8 more
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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
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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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, 2010 We introduce the analogue of Dunkl processes in the case of an affine root system of type $\widetilde{\text{A}}_1$. The construction of the affine Dunkl process is achieved by a skew-product decomposition by means of its radial part and a jump process on
Chapon, Francois
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Generalized Spectral Projections for the Weinstein Laplacian and Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we investigate the generalized spectral projections associated with the Weinstein Laplacian −ΔdW,α. We first derive an explicit integral formula for these projections and prove that they are intrinsically linked to the spectral density of −ΔdW,α, which endows them with a natural spectral interpretation.
Abdelilah El Mourni +3 more
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Revisiting Beurling's theorem for Dunkl transform [PDF]
, 2015 peer reviewedWe prove an analogue of Beurling's theorem in the setting of Dunkl transform, which improves the theorem of Kawazoe-Mejjaoli (\cite{Kawazoe})
PUSTI, Sanjoy
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ПРЕОБРАЗОВАНИЕ ДАНКЛЯ ФУНКЦИЙ, УДОВЛЕТВОРЯЮЩИХ УСЛОВИЮ ЛИПШИЦА
Проблемы анализа, 2007 The Dunkl transform of functions satisfying certain Lipschitz conditions is studied in this paper. The analogue of the theorem of E. Titchmarsh about the description of image under Dunkl transform of functions satisfying certain Lipschitz conditions is ...
БЕЛКИНА Е.С.
doaj
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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