88 citations · 107 across the 4 of their papers we have counts for
7 papers
Logarithmic uncertainty principles for the Hankel wavelet transform
Saifallah Ghobber
The aim of this paper is to prove a logarithmic and a Hirschman-Beckner entropic uncertainty principles for the Hankel wavelet transform. Then we derive a general form of Heisenber…
Fourier-like multipliers and applications for integral operators
Saifallah Ghobber
Timelimited functions and bandlimited functions play a fundamental role in signal and image processing. But by the uncertainty principles, a signal cannot be simultaneously time an…
Uncertainty principles for integral operators
Saifallah Ghobber, Philippe Jaming
The aim of this paper is to prove new uncertainty principles for an integral operator with a bounded kernel for which there is a Plancherel theorem. The first of these result…
The Logvinenko-Sereda Theorem for the Fourier-Bessel transform
Saifallah Ghobber, Philippe Jaming
The aim of this paper is to establish an analogue of Logvinenko-Sereda's theorem for the Fourier-Bessel transform (or Hankel transform) $\ff_α$ of order . Roughly speaking,…
Strong annihilating pairs for the Fourier-Bessel transform
Saifallah Ghobber, Philippe Jaming
The aim of this paper is to prove two new uncertainty principles for the Fourier-Bessel transform (or Hankel transform). The first of these results is an extension of a result of A…
Equality cases for the uncertainty principle in finite Abelian groups
Aline Bonami, Saifallah Ghobber
We consider the families of finite Abelian groups $\ZZ/p\ZZ\times \ZZ/p\ZZ$, $\ZZ/p^2\ZZ$ and $\ZZ/p\ZZ\times \ZZ/q\ZZ$ for two distinct prime numbers. For the two first fami…