Norm Retrieval and Phase Retrieval by Projections

Norm Retrieval and Phase Retrieval by Projections

We make a detailed study of norm retrieval. We give several classification theorems for norm retrieval and give a large number of examples to go with the theory. One consequence is a new result about Parseval frames: If a Parseval frame is divided into two subsets with spans W1,W2W1,W2 and W1∩W2={0}...

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Veröffentlicht in:Axioms 2017-03, Vol.6 (4), p.6
Hauptverfasser: Casazza, Peter, Ghoreishi, Dorsa, Jose, Shani, Tremain, Janet
Format: Artikel
Sprache:eng
Schlagworte:
frame
norm retrieval
Phase retrieval
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Beschreibung
Zusammenfassung:We make a detailed study of norm retrieval. We give several classification theorems for norm retrieval and give a large number of examples to go with the theory. One consequence is a new result about Parseval frames: If a Parseval frame is divided into two subsets with spans W1,W2W1,W2 and W1∩W2={0}W1∩W2={0} , then W1⊥W2W1⊥W2 .
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms6010006