1 citations · 1 across the 1 of their papers we have counts for
9 papers
On Excesses and Duality in Woven Frames
Elahe Agheshteh Moghaddam, Ali Akbar Arefijamaal
Weaving frames in separable Hilbert spaces have been recently introduced by Bemrose et al. to deal with some problems in distributed signal processing and wireless sensor networks.…
Representation of Operators Using Fusion Frames
Peter Balazs, Mitra Shamsabadi, Ali Akbar Arefijamaal +1
For finding the numerical solution of operator equations in many applications a decomposition in subspaces is needed. Therefore, it is necessary to extend the known method of matri…
Weaving Hilbert Space Frames and Duality
Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal
Weaving Hilbert space frames have been introduced recently by Bemrose et al. to deal with some problems in distributed signal processing. In this paper, we survey this topic from t…
Dual and multiplier of -fusion frames
Mitra Shamsabadi, Ali Akbar Arefijamaal, Ghadir Sadeghi
In this paper, we introduce the concept of -fusion frames and propose the duality for such frames. The relation between the local frames of -fusion frames with their dual is…
Some results of -frames and their multipliers
Ali Akbar Arefijamaal, Mitra Shamsabadi
K-frames are strongly tools for the reconstruction elements from the range of a bounded linear operator K on a separable Hilbert space H. In this paper, we study some properties of…
U-cross Gram matrices and their invertibility
Peter Balazs, Mitra Shamsabadi, Ali Akbar Arefijamaal +1
The Gram matrix is defined for Bessel sequences by combining synthesis with subsequent analysis operators. If different sequences are used and an operator U is inserted we reach so…