4 citations · 7 across the 5 of their papers we have counts for
5 papers
Applications of the q-Fourier Analysis to the Symmetric Moment Problem
Lazhar Dhaouadi
Sufficient condition for the symmetric moment problem to be determinate is given using standards methods of -Fourier analysis. This condition it cannot be a particular case of C…
q-Sturm-Liouville theory and the corresponding eigenfunction expansions
Lazhar Dhaouadi
The aim of this paper is to study the -Schrödinger operator where is a given function of defined over $\mathbb{R}_{q}^{+}=\{q^n,\quad n\in\mathbb Z…
Prolate Spheroidal Wave Functions In q-Fourier Analysis
Lazhar Dhaouadi
The prolate spheroidal wave functions, which are a special case of the spheroidal wave functions, possess a very surprising and unique property [6]. They are an orthogonal basis of…
On the Graf's addition theorem for Hahn Exton q-Bessel function
Lazhar Dhaouadi, Ahmed Fitouhi
In this paper we study the positivity of the generalized -translation associated with the -Bessel Hahn Exton function which is deduced by a new formulation of the Graf's addi…
Heisenberg Uncertainty Principle for the q-Bessel Fourier transform
Lazhar Dhaouadi
In this paper we uses an I.I. Hirschman-W. Beckner entropy argument to give an uncertainty inequality for the -Bessel Fourier transform: $$ \mathcal{F}_{q,v}f(x)=c_{q,v}\int_{0}…