Results 71 to 80 of about 2,118 (146)
Dunkl-spherical maximal function [PDF]
, 2013 In this paper, we study the Lp-bondedness of the spherical maximal function associated to the Dunkl operators.Comment: 16 pages.
Jemai, Abdessattar
core
Uncertainty principles for integral operators
, 2012 The aim of this paper is to prove new uncertainty principles for an integral operator $\tt$ with a bounded kernel for which there is a Plancherel theorem. The first of these results is an extension of Faris's local uncertainty principle which states that
Ghobber, Saifallah, Jaming, Philippe
core +3 more sources
Basin Research, Volume 36, Issue 2, March–April 2024.This study investigates how three palaeo‐depositional systems situated in the Swiss Molasse basin (North to the Central European Alps; details in Fig. 1) record the tecto‐geomorphic and climatic boundary conditions of the source area through Oligo‐Miocene times.
Philippos Garefalakis +4 more
wiley +1 more source
Grundprinzipien der künstlichen Intelligenz in der Dermatologie erklärt am Beispiel des Melanoms
JDDG: Journal der Deutschen Dermatologischen Gesellschaft, Volume 22, Issue 3, Page 339-349, March 2024.Zusammenfassung Der Einsatz von künstlicher Intelligenz (KI) setzt sich in den verschiedensten Bereichen der Medizin immer schneller durch. Dennoch fehlt vielen medizinischen Kollegen das technische Grundverständnis für die Funktionsweise dieser Technologie, was ihre Anwendung in Klinik und Forschung stark einschränkt.
Tim Hartmann +5 more
wiley +1 more source
Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line [PDF]
, 2006 2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces.
Gasmi, A., Sifi, M., Soltani, F.
core
A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting
Mathematische Nachrichten, Volume 297, Issue 2, Page 629-643, February 2024.Abstract On RN$\mathbb {R}^N$ equipped with a root system R, multiplicity function k≥0$k \ge 0$, and the associated measure dw(x)=∏α∈R|⟨x,α⟩|k(α)dx$dw(\mathbf {x})=\prod _{\alpha \in R}|\langle \mathbf {x},\alpha \rangle |^{k(\alpha )}\,d\mathbf {x}$, we consider a (nonradial) kernel K(x)${K}(\mathbf {x})$, which has properties similar to those from ...
Jacek Dziubański, Agnieszka Hejna
wiley +1 more source
Uncertainty Inequalities for the Linear Canonical Dunkl Transform
MathematicsThe aim of this paper is to show some uncertainty inequalities for the linear canonical Dunkl transform (LCDT), including sharp Heisenberg-type, entropic-type, logarithmic-type, Donoho–Stark-type and local-type uncertainty principles.
Saifallah Ghobber, Hatem Mejjaoli
doaj +1 more source
Pitt's inequalities and uncertainty principle for generalized Fourier transform
, 2015 We study the two-parameter family of unitary operators \[ \mathcal{F}_{k,a}=\exp\Bigl(\frac{i\pi}{2a}\,(2\langle k\rangle+{d}+a-2 )\Bigr) \exp\Bigl(\frac{i\pi}{2a}\,\Delta_{k,a}\Bigr), \] which are called $(k,a)$-generalized Fourier transforms and ...
Gorbachev, Dmitry +2 more
core
Journal of Geophysical Research: Earth Surface, Volume 129, Issue 2, February 2024.Abstract Heavy‐mineral suites are used widely in sandstone provenance and are key when connecting source and sink. When characterizing provenance related signatures, it is essential to understand the different factors that may influence a particular heavy‐mineral assemblage for example, chemical weathering or diagenetic processes.
Sarah Feil +4 more
wiley +1 more source
Uncertainty principles for the Dunkl transform
Hiroshima Mathematical Journal, 2010 The uncertainty principle for the classical Fourier transform was proved by many mathematicians including Hardy and Beurling and its \(L^p\) version was proved by Cowling and Price. The above results for the Fourier transform were generalized to the Dunkl transform by Gallardo, Trimèche.
Kawazoe, Takeshi, Mejjaoli, Hatem
openaire +3 more sources