Results 81 to 90 of about 2,118 (146)

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

Elementary proofs of Paley-Wiener theorems for the Dunkl transform on the real line

, 2005
We give an elementary proof of the Paley-Wiener theorem for smooth functions for the Dunkl transforms on the real line, establish a similar theorem for L^2-functions and prove identities in the spirit of Bang for L^p-functions.
Andersen, Nils Byrial, de Jeu, Marcel
core  

Dunkl Linear Canonical Wavelet Transform: Concentration Operators and Applications to Scalogram and Localized Functions

Mathematics
In the present paper we study a class of Toeplitz operators called concentration operators that are self-adjoint and compact in the linear canonical Dunkl setting.
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source

The Clifford Deformation of the Hermite Semigroup

Symmetry, Integrability and Geometry: Methods and Applications, 2013
This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier transform in the setting of Clifford analysis.
Hendrik De Bie, Bent Ørsted, Petr Somberg, Vladimir Souček   +3 more
doaj   +1 more source

An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R)

International Journal of Analysis and Applications, 2015
In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem  for functions satisfying the Jacobi-Dunkl Lipschitz  condition in $ L^{2}(\R,A_{\alpha ,\beta}(t)dt), \alpha \geq \beta\geq-\frac{1}{2 ...
A. Abouelaz, A. Belkhadir, R. Daher
doaj   +2 more sources

Implementing cell-free DNA of pancreatic cancer patient-derived organoids for personalized oncology. [PDF]

JCI Insight, 2020
Dantes Z, Yen HY, Pfarr N, Winter C, Steiger K, Muckenhuber A, Hennig A, Lange S, Engleitner T, Öllinger R, Maresch R, Orben F, Heid I, Kaissis G, Shi K, Topping G, Stögbauer F, Wirth M, Peschke K, Papargyriou A, Rezaee-Oghazi M, Feldmann K, Schäfer AP, Ranjan R, Lubeseder-Martellato C, Stange DE, Welsch T, Martignoni M, Ceyhan GO, Friess H, Herner A, Liotta L, Treiber M, von Figura G, Abdelhafez M, Klare P, Schlag C, Algül H, Siveke J, Braren R, Weirich G, Weichert W, Saur D, Rad R, Schmid RM, Schneider G, Reichert M.   +46 more
europepmc   +1 more source