9 citations · 21 across the 17 of their papers we have counts for
20 papers
Constructing Parseval Fusion Frames via Operators
Ehsan Ameli, Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi
This article explores the problem of modifying the subspaces of a fusion frame in order to construct a Parseval fusion frame. In this respect, the notion of scalability is extended…
A Survey on Constructing Parseval Fusion Frames via Scaling Weights
Ehsan Ameli, Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi
The construction of Parseval fusion frames is highly desirable in a wide range of signal processing applications. In this paper, we study the problem of modifying the weights of a…
Topological structure of projective Hilbert spaces associated with phase retrieval vectors
Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal, Ghadir Sadeghi
In this paper, we explore the interplay between topological structures and phase retrieval in the context of projective Hilbert spaces. This work provides not only a deeper underst…
Excess of Fusion Frames: A Comprehensive Approach
Ehsan Ameli, Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi
Computing the excess as a method of measuring the redundancy of frames was recently introduced to address certain issues in frame theory. In this paper, the concept of excess for f…
Characterization of duals of continuous frames in Hilbert C*-modules
H. Ghasemi, T. L. Shateri, A. Arefijamaal
In this paper, we investigate some characterizations of dual continuous frames and give some results about them. Also, we refer to the method of constructing a family of duals thro…
Characterization of (weak) phase retrieval dual frames
Fahimeh Arabyani-Neyshaburi, Ali Akbar Arefijamaal, Rajab Ali Kamyabi-Gol
Recovering a signal up to a unimodular constant from the magnitudes of linear measurements has been popular and well studied in recent years. However, numerous unsolved problems re…
A New Look at Optimal Dual Problem Related to Fusion Frames
Fahimeh Arabyani-Neyshaburi, Ali Akbar Arefijamaal
The purpose of this work is to examine the structure of optimal dual fusion frames and get more exibility in the use of dual fusion frames for erasures of subspaces. We deal with o…
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…
Weaving Hilbert space fusion frames
Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal
A new notion in frame theory, so called weaving frames has been recently introduced to deal with some problems in signal processing and wireless sensor networks. Also, fusion frame…
K-frames in Hilbert -modules
Gh. Abbaspour Tabadkan, A. A. Arefijamaal, M. Mahmoudieh
In this paper, firstly we investigate conditions under which the action of an operator on a -frame, remain again a -frame for Hilbert module E. We also give a generalization…
The invertibility of U-fusion cross Gram matrices of operators
Mitra Shamsabadi, Ali Akbar Arefijamaal, Peter Balazs
For applications like the numerical solution of physical equations a discretization scheme for operators is necessary. Recently frames have been used for such an operator represent…
Characterization and Construction of K-Fusion Frames and Their Duals in Hilbert Spaces
Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal
K-frames, a new generalization of frames, were recently considered by L. Gavruta in connection with atomic systems and some problems arising in sampling theory. Also, fusion frames…
Compare and contrast between duals of fusion and discrete frames
Elnaz Osgooei, Ali Akbar Arefijamaal
Fusion frames are valuable generalizations of discrete frames. Most concepts of fusion frames are shared by discrete frames. However, the dual setting is so complicated. In particu…
Some properties of dual and approximate dual of fusion frames
Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi
In this paper we extend the notion of approximate dual to fusion frames and present some approaches to obtain dual and approximate alternate dual fusion frames. Also, we study the…
Zak Transform for Semidirect Product of Locally Compact Groups
Arash Ghaani Farashahi, Ali Akbar Arefijamaal
Let be a locally compact group and be an LCA group also let be a continuous homomorphism and be the semidirect product of and with…