3 papers
math.FA2026
Trace-Controlled Operator Selection and Discretization of Continuous Frames in Hilbert \(C^*\)-Modules
Hicham Tarif
The discretization of continuous frames in Hilbert spaces is well established, while the corresponding problem for Hilbert -modules presents additional difficulties arising fr…
math.FA2026
Vector-Valued Wavelet Bases as Hilbert -Module Bases: A Construction from Scalar Wavelets
Hicham Tarif, Nadir Maaroufi
Vector-valued multiscale representations are essential when signals or fields take values in and component interactions carry meaningful information. Most multiwavel…
math.FA2025
A Constructive Approach for Building Wavelet Bases in \( L^2(\mathbb{R}^d, \mathbb{R}^m) \) with Optimal Properties
Hicham Tarif, Nadir Maaroufi
The main contribution of this paper is a constructive method for building separable multivariate vector-valued wavelet bases in the general framework of \( L^2(\mathbb{R}^d, \mathb…