50 citations · 114 across the 12 of their papers we have counts for
6 papers · 1 filter
A survey on frame representations via dynamical sampling
Ole Christensen, Marzieh Hasannasab
Dynamical sampling deals with representations of a frame as an orbit of a linear and possibly bounded operator acting on the…
Approximately dual pairs of wavelet frames
Ana Benavente, Ole Christensen, Marzieh Hasannasab +3
This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist wavelet frames $\{a^{j/2}ψ( a^j\cdot -kb)\}_{j,k\in \mathbb Z}…
Completion versus removal of redundancy by perturbation
Ole Christensen, Marzieh Hasannasab
A sequence in a Hilbert space has the expansion property if each has a representation $f= \sum_{k…
Phase Retrieval and System Identification in Dynamical Sampling via Prony's Method
Robert Beinert, Marzieh Hasannasab
Phase retrieval in dynamical sampling is a novel research direction, where an unknown signal has to be recovered from the phaseless measurements with respect to a dynamical frame,…
On approximate operator representations of sequences in Banach spaces
Ole Christensen, Marzieh Hasannasab, Gabriele Steidl
Generalizing results by Halperin et al., Grivaux recently showed that any linearly independent sequence in a separable Banach space can be represented as…
Phase Retrieval via Polarization in Dynamical Sampling
Robert Beinert, Marzieh Hasannasab
In this paper we consider the nonlinear inverse problem of phase retrieval in the context of dynamical sampling. Where phase retrieval deals with the recovery of signals & images f…