Results 21 to 30 of about 2,417,266 (139)
Inventiones mathematicae, 1993 In the late eighties, Dunkel found a remarkable set of commuting operators that can be associated with a finite real reflection group. The operators contain complex parameters; if these parameters are all zero, Dunkl's operators reduce to the ordinary directional derivatives.
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Orthogonality of Hermite polynomials in superspace and Mehler type formulae [PDF]
, 2011 In this paper, Hermite polynomials related to quantum systems with orthogonal O(m)-symmetry, finite reflection group symmetry G < O(m), symplectic symmetry Sp(2n) and superspace symmetry O(m) x Sp(2n) are considered.
Coulembier, Kevin +2 more
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Uncertainty Principles for the Dunkl-Wigner Transforms [PDF]
Journal of Operators, 2016 We prove a version of Heisenberg-type uncertainty principle for the Dunkl-Wigner transform of magnitude s>0; and we deduce a local uncertainty principle for this transform.
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Laguerre semigroup and Dunkl operators [PDF]
, 2011 We construct a two-parameter family of actions \omega_{k,a} of the Lie algebra sl(2,R) by differential-difference operators on R^N \setminus {0}. Here, k is a multiplicity-function for the Dunkl operators, and a>0 arises from the interpolation of the ...
Bent Ørsted +16 more
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Weighted Function Spaces and Dunkl Transform [PDF]
Mediterranean Journal of Mathematics, 2011 We introduce first weighted function spaces on Rd using the Dunkl convolution that we call Besov-Dunkl spaces. We provide characterizations of these spaces by decomposition of functions. Next we obtain in the real line and in radial case on Rd weighted Lp-estimates of the Dunkl transform of a function in terms of an integral modulus of continuity which
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On a vector-valued Hopf-Dunford-Schwartz lemma [PDF]
, 2011 In this paper, we state as a conjecture a vector-valued Hopf-Dunford-Schwartz lemma and give a partial answer to it. As an application of this powerful result, we prove some Fe fferman-Stein inequalities in the setting of Dunkl analysis where the ...
Charpentier, Stéphane, Deleaval, Luc
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Facta Universitatis Series Mathematics and Informatics, 2022 In this paper, we study two estimates useful in applications are proved for the generalized Dunkl tranform in the space $L^{p}_{\alpha,Q}(\mathbb{R})$ where $1\frac{-1}{2}$, as applied to some classes of functions characterized by a generalized modulus ...
Akhlidj Abdellatif +3 more
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MOFs als neue katalytische Plattform für kovalente adaptive Netzwerke: Katalyse trifft Verstärkung
Angewandte Chemie, Volume 138, Issue 18, 27 April 2026.Eine neu entwickelte, heterogene, katalytische Plattform für kovalente adaptive Netzwerke (CANs) wird vorgestellt. Dies wird erreicht durch die Immobilisierung von Basen mit geringem Molekulargewicht auf metallorganischen Gerüstverbindungen (MOFs). Der erhaltene Katalysator UiO‐TBD profitiert von der hohen Beladungskapazität von MOFs und demonstriert ...
Simon Renner +9 more
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JDDG: Journal der Deutschen Dermatologischen Gesellschaft, Volume 24, Issue 4, Page 504-514, April 2026.Zusammenfassung Hintergrund und Zielsetzung Deep‐learning‐basierte Convolutional Neural Networks (DL‐CNN) erzielen innerhalb der Domäne der dermatoskopischen Bildgebung eine hohe diagnostische Genauigkeit. In der klinischen Praxis stehen dermatoskopische Geräte jedoch nicht immer zur Verfügung, sodass häufig klinische Nahaufnahmen angefertigt werden ...
Anastasia Sophie Vollmer +6 more
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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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