90 citations · 90 across the 14 of their papers we have counts for
14 papers
Two Hornich-Hlawka-type and Gram matrix-based inequalities
Nizar El Idrissi, Hicham Zoubeir
We establish two inequalities in real inner product spaces. The first is a multiplicative strengthening of the classical Hornich-Hlawka inequality: for all vectors in a rea…
Probability measure annihilating all finite-dimensional subspaces
Nizar El Idrissi, Hicham Zoubeir
We propose in this short note a prime numbers-based method for constructing probability measures on infinite-dimensional Banach spaces annihilating all finite-dimensional subspaces…
Almost sure linear independence of absolutely continuous Hilbert space-valued random vectors with respect to a special class of Hilbert space probability measures
Nizar El Idrissi, Hicham Zoubeir
This note examines the implications of randomly selecting vectors from an infinite-dimensional Hilbert space on linear independence, assuming that for all , the first vector…
Invertibility in partially ordered nonassociative rings
Nizar El Idrissi, Hicham Zoubeir
Invertibility is important in ring theory because it enables division and facilitates solving equations. Moreover, (nonassociative) rings can be endowed with an extra ''structure''…
Perturbation of Schauder frames and besselian Schauder frames in Banach spaces
Samir Kabbaj, Rafik Karkri, Hicham Zoubeir
We consider the stability of Schauder frames and besselian Schauder frames under perturbations. Our results are inspirit close to the results of Heil [18].
On *-fusion frames for Hilbert C*-modules
Nadia Assila, Samir Kabbaj, Hicham Zoubeir
Our main goal in this paper, is to generalize to Hilbert C*-modules the concept of fusion frames. Indeed we introduce the notion of *ñfusion frames associated to weighted sequences…
About Schauder frames and besselian Schauder frames of Banach spaces
Rafik Karkri, Hicham Zoubeir
In this paper, we introduce, for a separable Banach spacea new notion of besselian paires and of besselian Schauder frames for which we prove for some fundamental results.
On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk
Hicham Zoubeir, Samir Kabbaj
In this paper we define Gevrey polyanalytic classes of order N on the unit disk D and we obtain for these classes a characteristic expansion into N-analytic polynomials on suitable…
Solvability in Gevrey classes of some nonlinear fractional functional differential equations
Hicham Zoubeir
Our purpose in this paper is to prove, under some regularity conditions on the datas, the solvability in a Gevrey class of bound -1 on the interval [-1,1] of a class of nonlinear f…
A note on the convergence of the Adomian decomposition method
Hicham Zoubeir
In this note we obtain a new convergence result for the Adomian decomposition method.
Solvability in Gevrey classes of some linear functional equations
Elmostafa Bendib, Hicham Zoubeir
In this paper, we associate to each positive number k a new class of endomorphisms of the sheaf of germs of holomorphic functions on [-1,1] and prove the solvability in the Gevrey…
Existence of Gevrey solutions to some polynomially nonlinear functional differential equations
Hicham Zoubeir
Our aim in this paper is to prove, under some growth conditions on the datas, the solvability in a Gevrey class of a polynomially nonlinear functional differential equation.
About a conjecture on difference equations in quasianalytic Carleman classes
Hicham Zoubeir
In this paper we obtain a partial answer to a conjecture on the solvabilty of linear difference equations in quasianalytic Carleman classes.
A generalised Găvruţa stability of cohomological equations in nonquasianalytic Carleman classes
Abdellatif Akhlidj, Samir Kabbaj, Hicham Zoubeir
In this paper we introduce the notion of generalized Gavrùta stability of functional equations in order to study, in the framework of a nonquasianalytic Carleman class, the stabili…