Results 91 to 100 of about 491,660 (153)

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

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, Shagufta Rahman, Abdullah Alotaibi   +2 more
doaj   +1 more source

Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint. [PDF]

Entropy (Basel), 2021
Chattopadhyay P, Mitra A, Paul G, Zarikas V.   +3 more
europepmc   +1 more source

Dynamical symmetries of the Calogero–Coulomb model

Nuclear Physics B
We construct the dynamical symmetry of the N-particle quantum Calogero model with particle exchange in a confining Coulomb field. This symmetry is governed by the algebra so(N+1,2), deformed by exchange (Dunkl) operators, with its invariant sector ...
Tigran Hakobyan
doaj   +1 more source

Oscillation inequalities for Carleson–Dunkl operator

Rendiconti del Circolo Matematico di Palermo Series 2
Abstract 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

A Bochner Theorem for Dunkl Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions.
Luc Vinet, Alexei Zhedanov
doaj   +1 more source

Chlodowsky Szász-Kantorovich operators via Dunkl analogue

, 2019
The main objective of the present article is to design a sequence of Chlodowsky Szasz-Kantorovich operators based on Dunkl analogue for the purpose to achieve faster rate of convergence in terms of two positive and unbounded real number sequences and the
Wafi, Abdul, Rao, Nadeem
core   +1 more source

The wave equation for Dunkl operators

Indagationes Mathematicae, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ben Saïd, Salem, Ørsted, Bent
openaire   +1 more source

Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators [PDF]

, 2006
2000 Mathematics Subject Classification: 35E45In this paper we study generalized Sobolev spaces H^sG of exponential type associated with the Dunkl operators based on the space G of test functions for generalized hyperfunctions and investigate their ...
Assal, Miloud, Bouguila, Raouya
core   +1 more source

Inversion of the Dunkl Intertwining Operator and Its Dual Using Dunkl Wavelets

Rocky Mountain Journal of Mathematics, 2002
In \S1 of the paper, the author gives results on the Dunkl operators and on eigenfunction called the Dunkl kernel and then he defines the Dunkl intertwining operator \(V_k\) and its dual \({}^tV_k\) and mentions their main properties. In Sections 3 and 4, the harmonic analysis associated with Dunkl operators (Dunkl transform, Dunkl translation ...
openaire   +3 more sources