Results 61 to 70 of about 728,042 (147)
AN ANALOGUE OF COWLING-PRICE’S THEOREM FOR THE Q-FOURIER-DUNKL TRANSFORM [PDF]
, 2020 The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using theheat kernel associated to the Q-Fourier-Dunkl operator, we have established an analogue of Cowling-Price, Miyachi and ...
Daher, Radouan +3 more
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Novel Gabor-Type Transform and Weighted Uncertainty Principles
MathematicsThe linear canonical Fourier transform is one of the most celebrated time-frequency tools for analyzing non-transient signals. In this paper, we will introduce and study the deformed Gabor transform associated with the linear canonical Dunkl transform ...
Saifallah Ghobber, Hatem Mejjaoli
doaj +1 more source
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
Sonine Transform Associated to the Dunkl Kernel on the Real Line
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We consider the Dunkl intertwining operator V_α and its dual ^tV_α, we define and study the Dunkl Sonine operator and its dual on R. Next, we introduce complex powers of the Dunkl Laplacian Δ_α and establish inversion formulas for the Dunkl Sonine ...
Fethi Soltani
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Hilbert Transforms Associated with Dunkl-Hermite Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We consider expansions of functions in $L^{p}(\mathbb{R},|x|^{2k}dx)$, $1\leq ...
Ben Salem, Nejib, Samaali, Taha
openaire +4 more sources
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$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
Weighted -Inequalities for the Dunkl Transform
, 2020 We give, for 1 < ≤ 2, weighted -inequalities for the Dunkl transform, using, respectively, the modulus of continuity of radial functions and the Dunkl convolution in the general case. As application, we obtain, in particular, the integrability of this
Chokri Abdelkefi, Faten Rached
core
Spectrum of Functions for the Dunkl Transform on R^d [PDF]
, 2007 In this paper, we establish real Paley-Wiener theorems for the Dunkl transform on R^d. More precisely, we characterize the functions in the Schwartz space S(R^d) and in L^2k(R^d) whose Dunkl transform has bounded, unbounded, convex and nonconvex ...
Trimèche, Khalifa, Mejjaoli, Hatem
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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
wiley +1 more source
Riesz transforms and commutators in the Dunkl setting
Analysis and Mathematical PhysicsIn this paper we characterise the optimal pointwise size and regularity estimates for the Dunkl Riesz transform kernel involving both the Euclidean metric and the Dunkl metric, where these two metrics are not equivalent. We further establish a suitable version of the pointwise kernel lower bound of the Dunkl Riesz transform via the Euclidean metric ...
Han, Yongsheng +3 more
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