17 citations · 40 across the 12 of their papers we have counts for
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On the -Bessel Fourier transform
Lazhar Dhaouadi
In this work, we are interested by the -Bessel Fourier transform with a new approach. Many important results of this -integral transform are proved with a new constructive de…
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…
Hardy's theorem for the q-Bessel Fourier transform
Lazhar Dhaouadi
In this paper we give a q-analogue of the Hardy's theorem for the -Bessel Fourier transform. The celebrated theorem asserts that if a function and its Fourier transform $\ha…
Functions of q-positive type
Lazhar Dhaouadi
In this paper we characterize the subspace of of function which are the q-Bessel Fourier transform of positive functions in . As applicat…
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…
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…