Results 91 to 100 of about 2,871 (158)
Journal of Function Spaces, 2020 The purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators.
Md. Nasiruzzaman, A. F. Aljohani
doaj +1 more source
Imaginary Powers of the Dunkl Harmonic Oscillator
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z_2^d. We prove that imaginary powers of this operator are bounded on L^p, 1 < p < ∞, and from L^1
Adam Nowak, Krzysztof Stempak
doaj +1 more source
Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions
Journal of Inequalities and Applications, 2016 In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen +2 more
doaj +1 more source
A New Wavelet Transform and Its Localization Operators
MathematicsIn 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
Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint. [PDF]
Entropy (Basel), 2021 Chattopadhyay P +3 more
europepmc +1 more source
Radial mollifiers, mean value operators and harmonic functions in Dunkl theory [PDF]
, 2016 In this paper we show how to use mollifiers to regularise functions relative to a set of Dunkl operators in R d with Coxeter-Weyl group W , multiplicity function k and weight function ω k.
Gallardo, Léonard, Rejeb, Chaabane
core +1 more source
Oscillation inequalities for Carleson–Dunkl operator
Rendiconti del Circolo Matematico di Palermo Series 2Abstract In this paper, we establish estimates for the oscillation seminorm for the so-called Carleson–Dunkl operator on weighted $$L^p(\mathbb {R},w(x)|x|^{2\alpha +1}\textrm{d}x)$$ L p
openaire +2 more sources
, 1998 Notes of series of lectures held during the 1997 workshop ``Harmonic analysis on homogeneous spaces and representation of Lie groups'', RIMS, Kyoto ...
openaire +2 more sources
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