Results 91 to 100 of about 728,042 (147)

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

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

Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting [PDF]

, 2023
We study analytic aspects of the Dunkl-type Hankel transform, which goes back to Baker and Forrester and, in an earlier symmetrized version, to Macdonald.
Brennecken, Dominik
core  

Convolution operator and maximal function for the Dunkl transform

, 2005
For a family of weight functions hK invariant under a finite reflection group on Rd, analysis related to the Dunkl transform is carried out for the weighted Lp spaces.
Thangavelu, Sundaram, Xu, Yuan
core   +1 more source

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

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

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

Approaching Bilinear Multipliers via a Functional Calculus. [PDF]

J Geom Anal, 2018
Wróbel B.
europepmc   +1 more source

Bernstein and Jackson Inequalities for the Quaternionic Dunkl Transform

We study approximation theory for the quaternionic Dunkl transform (QDT) on ℝ². We establish Bernstein-type inequalities and Jackson direct theorems, relating the best approximation Q_ν(f)₂,Q to moduli of smoothness.
Najat Safouane, Abdellah Elhyat
core   +1 more source