9 citations · 44 across the 24 of their papers we have counts for
6 papers · 1 filter
Stable phase retrieval and perturbations of frames
Wedad Alharbi, Daniel Freeman, Dorsa Ghoreishi +2
A frame for a Hilbert space is said to do phase retrieval if for all distinct vectors the magnitude of the frame coefficients $(|\langle x, x_j\rang…
Quantitative bounds for unconditional pairs of frames
Peter Balazs, Daniel Freeman, Roxana Popescu +1
We formulate a quantitative finite-dimensional conjecture about frame multipliers and prove that it is equivalent to Conjecture 1 in [SB2]. We then present solutions to the conject…
Stable phase retrieval in function spaces
D. Freeman, T. Oikhberg, B. Pineau +1
Let be a measure space, and . A subspace is said to do stable phase retrieval (SPR) if there exists a constant such that…
Locality and stability for phase retrieval
Wedad Alharbi, Salah Alshabhi, Daniel Freeman +1
A frame for a Hilbert space is said to do phase retrieval if for all distinct vectors the magnitude of the frame coefficients $(|\langle x, x_j\rang…
Shrinking Schauder Frames and their Associated Bases
Kevin Beanland, Daniel Freeman
For a Banach space with a shrinking Schauder frame we provide an explicit method for constructing a shrinking associated basis. In the case that the minimal associa…
Stable phase retrieval for infinite dimensional subspaces of
Robert Calderbank, Ingrid Daubechies, Daniel Freeman +1
Phase retrieval is known to always be unstable when using a frame or continuous frame for an infinite dimensional Hilbert space. We consider a generalization of phase retrieval to…