Results 41 to 50 of about 102 (91)

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  

Novel Gabor-Type Transform and Weighted Uncertainty Principles

Mathematics
The 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

A Real Paley-Wiener Theorem for the Generalized Dunkl Transform

International Journal of Analysis and Applications, 2015
In this article, we prove a real Paley-Wiener theorem for the generalized Dunkl transform on R.
A. Abouelaz, A. Achak, R. Daher, El. Loualid   +3 more
doaj   +2 more sources

Uncertainty Inequalities for the Linear Canonical Dunkl Transform

Mathematics
The 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

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

Localization Operators for the Linear Canonical Dunkl Windowed Transformation

Axioms
One of the best known time–frequency tools for examining non-transient signals is the linear canonical windowed transform, which has been used extensively in signal processing and related domains. In this paper, by involving the harmonic analysis for the
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source

Exact solutions of [Formula: see text]-dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics. [PDF]

Sci Rep, 2023
Okorie US, Ikot AN, Okon IB, Obagboye LF, Horchani R, Abdullah HY, Qadir KW, Abdel-Aty AH.   +7 more
europepmc   +1 more source

On Estimates for the Dunkl Transform in the Space L2,α(R)

International Journal of Analysis and Applications, 2014
In this paper, we study two estimates useful in applications are proved for the Dunkl transform in a Hilbert space L2,α(R) = L2(R,|x|2α+1dx), α >−1/2 as applied to some classes of functions characterized by a generalized modulus of continuity.
Mohamed El Hamma, Radouan Daher
doaj   +2 more sources

A New Wavelet Transform and Its Localization Operators

Mathematics
In the present paper we define and study a new wavelet transformation associated to the linear canonical Dunkl transform (LCDT), which has been widely used in signal processing and other related fields.
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source

SHARP CONDITIONS FOR WEIGHTED INTEGRABILITY OF q-DUNKL FOURIER TRANSFORMS

Проблемы анализа
We obtain sufficient conditions for the weighted inte grability of the q-Dunkl Fourier transforms of functions from gen eralized integral Lipschitz classes. In the L^2 case, we prove the sharpness of these conditions.
S. S. Volosivets
doaj   +1 more source