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Norm Retrieval and Phase Retrieval by Projections

Department of Mathematics, University of Missouri, Columbia, MO 65211-4100, USA
Author to whom correspondence should be addressed.
Academic Editor: Palle E. T. Jorgensen
Received: 27 January 2017 / Revised: 1 March 2017 / Accepted: 2 March 2017 / Published: 4 March 2017
(This article belongs to the Special Issue Wavelet and Frame Constructions, with Applications)
PDF [400 KB, uploaded 4 March 2017]


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 W 1 , W 2 and W 1 W 2 = { 0 } , then W 1 W 2 . View Full-Text
Keywords: frame; norm retrieval; phase retrieval frame; norm retrieval; phase retrieval
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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MDPI and ACS Style

Casazza, P.G.; Ghoreishi, D.; Jose, S.; Tremain, J.C. Norm Retrieval and Phase Retrieval by Projections. Axioms 2017, 6, 6.

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