Norm retrieval and phase retrieval by projections

2017/01/27 by Peter G. Casazza, Casazza, Peter G., Dorsa Ghoreishi +5
Computer Science · Engineering · #42C15 #Advanced Measurement and Metrology Techniques #Advanced Numerical Analysis Techniques #FOS: Mathematics #Functional Analysis (math.FA) #Optical measurement and interference techniques

paper · pdf · doi:10.48550/arxiv.1701.08014

openalex publication_date 2017/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 W₁,W₂ and W₁ ∩ W₂=\0\, then W₁ ⊥ W₂.

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