50 citations · 114 across the 12 of their papers we have counts for
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math.FA2017
Gabor frames in and linear dependence
Ole Christensen, Marzieh Hasannasab
We prove that an overcomplete Gabor frame in by a finitely supported sequence is always linearly dependent. This is a particular case of a general result about…
math.FA2017★ 3 cited
An open problem concerning operator representations of frames
Ole Christensen, Marzieh Hasannasab
Recent research has shown that the properties of overcomplete Gabor frames and frames arising from shift-invariant systems form a precise match with certain conditions that are nec…
math.FA2017★ 37 cited
Operator representations of frames: boundedness, duality, and stability
Ole Christensen, Marzieh Hasannasab
The purpose of the paper is to analyze frames having the form for some linear operator $T: \mbox{span} \{f_k\}_{k\in \mathbf…