Phase Retrieval in \(\ell_2(\RR)\)

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, (2) give counter-examples to show that many others fail in infinite dimensions, (3)list finite dimensional results are un...

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Bibliographic Details
Published in:arXiv.org 2018-04
Main Authors: Botelho-Andrade, Sara, Casazza, Peter G, Desai, Cheng, Haas, John, Tran, Tin T
Format: Article
Language:English
Subjects:
Phase retrieval
Online Access:Get full text
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Summary: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, (2) give counter-examples to show that many others fail in infinite dimensions, (3)list finite dimensional results are unknown for \(\ell_2\).
ISSN:2331-8422