6 papers
The HRT conjecture for a class of meromorphic functions
Mostafa Maslouhi, Kasso A. Okoudjou
The HRT conjecture states that any finite collection of time-frequency shifts of a non-zero square-integrable function on the real line is linearly independent. In this paper, we e…
On root frames in
Mostafa Maslouhi, Kasso A. Okoudjou
\emph{A root frame} for is a finite frame whose vectors form a root system. In this note we establish some elementary properties of this class of frames and prove th…
A new probabilistic model for optimal frames in erasure's recovery
S. Loukili, M. Maslouhi
In this paper we introduce a new probabilistic model for optimizing erasures occurring in data transmission using Parseval frames and a sequence of Bernoulli random variables assoc…
On the Generalized Ornstein-Uhlenbeck Semigroup
Mostafa Maslouhi, El houssain Lamine
We give several functional inequalities related to the Ornstein-Uhlenbeck semigroup in the Dunkl differential-difference operators setting. As an application of these inequalities,…
On The Dunkl Intertwining Opereator
Mostafa Maslouhi
Dunkl operators are differential-difference operators parametrized by a finite reflection group and a weight function. The commutative algebra generated by these operators generali…
An Integral Expression for the Dunkl Kernel in the Dihedral Setting
M. Maslouhi
In this paper, we establish an integral expression for the Dunkl kernel in the context of Dihedral group of an arbitrary order by using the results in \cite{M-Y-Vk} where a constru…