5 citations · 10 across the 4 of their papers we have counts for
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Phase Retrieval in $\ell_2(\RR)$
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +2
We will review the major results in finite dimensional real phase retrieval for vectors and projections. We then (1)prove that many of these theorems hold in infinite dimensions, (…
The exact constant for the norm inequality
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +1
A fundamental inequality for Hilbert spaces is the -norm inequality which gives that for any , But this is a strict inequali…
Phase retrieval by hyperplanes
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +4
We show that a scalable frame does phase retrieval if and only if the hyperplanes of its orthogonal complements do phase retrieval. We then show this result fails in general by giv…
Associating vectors in $\CC^n$ with rank 2 projections in $\RR^{2n}$: with applications
Peter G. Casazza, Desai Cheng
We will see that vectors in $\CC^n$ have natural analogs as rank 2 projections in $\RR^{2n}$ and that this association transfers many vector properties into properties of rank two…