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Claim

Norm Retrieval and Phase Retrieval by Projections

Norm retrieval and phase retrieval by projections
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 04 Mar 2017Embargo end date: 01 Jan 2017 English Publisher:MDPI AGJournal:Axioms, volume 6, page 6 (eissn: 2075-1680, Copyright policy )Funded by:NSF | ATD: Frame-Theoretic Algo...
Authors: Peter G. Casazza; Dorsa Ghoreishi; Shani Jose; Janet C. Tremain;

doi: 10.3390/axioms6010006 , 10.48550/arxiv.1701.08014

arXiv: 1701.08014

Norm Retrieval and Phase Retrieval by Projections

Abstract

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 .

Related Organizations
Keywords

phase retrieval, Mathematics - Functional Analysis, norm retrieval, 42C15, frame, QA1-939, FOS: Mathematics, General harmonic expansions, frames, Mathematics, frame; norm retrieval; phase retrieval, Functional Analysis (math.FA)

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 15
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Average
Green
gold