Sara Botelho-Andrade

activity

20172023

most citedPhase retrieval by hyperplanes

2 citations · 4 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.FA2018

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, (…

math.FA2017★ 2 cited

The exact constant for the $ℓ_{1} - ℓ_{2}$ norm inequality

Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +1

A fundamental inequality for Hilbert spaces is the $ℓ_{1} - ℓ_{2}$ -norm inequality which gives that for any $x \in H^{n}$ , $∥ x ∥_{1} \leq n ∥ x ∥_{2} .$ But this is a strict inequali…

math.FA2017★ 2 cited

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…

Phase Retrieval in $\ell_2(\RR)$

The exact constant for the ℓ1​−ℓ2​ norm inequality

Phase retrieval by hyperplanes

The exact constant for the $ℓ_{1} - ℓ_{2}$ norm inequality