9 citations · 16 across the 6 of their papers we have counts for
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An unbounded operator theory approach to lower frame and Riesz-Fischer sequences
Peter Balazs, Mitra Shamsabadi
Frames and orthonormal bases are naturally linked to bounded operators. To tackle unbounded operators those sequences might not be well suited. This has already been noted by von N…
A Survey of Fusion Frames in Hilbert Spaces
Lukas Köhldorfer, Peter Balazs, Pete Casazza +4
Fusion frames are a very active area of research today because of their myriad of applications in pure mathematics, applied mathematics, engineering, medicine, signal and image pro…
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…
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…
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…