1 citations · 1 across the 5 of their papers we have counts for
5 papers
B-Frames, B-Riesz bases, and Their tensor products
Abdelkrim Bourouihiya, Chaimae Mezzat
Like g-frames, b-frames were introduced to generalize the concept of frames, allowing for broader applications in signal processing and other fields. The advantage of b-frames resi…
On the minimal Sums of sequences in the tensor product of separable Hilbert spaces
Abdelkrim Bourouihiya, Samir Kabbaj
It is known that the tensor product of two sequences, in the tensor product of two separable Hilbert spaces, is a frame if and only if each component of that product is a frame. Th…
On the Linear Independence of Finite Wavelet Systems Generated by Schwartz Functions or Functions with certain behavior at infinity
Abdelkrim Bourouihiya
One of the motivations to state HRT conjecture on the linear independence of finite Gabor systems was the fact that there are linearly dependent Finite Wavelet Systems (FWS). Meanw…
The duals of -operator frames for
A. Bourouihiya, M. Rossafi H. Labrigui, A. Touri
Frames play significant role in signal and image processing, which leads to many applications in differents fields. In this paper we define the dual of -operator frames and w…
Linear Independence of Finite Gabor Systems Determined by Behavior at Infinity
John J. Benedetto, Abdelkrim Bourouihiya
We prove that the HRT (Heil, Ramanathan, and Topiwala) conjecture holds for finite Gabor systems generated by square-integrable functions with certain behavior at infinity. These f…