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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 10 (2020), Article ID 9

Phase retrieval revisited

Meimei Song, Lingen Zhu

PDF (93.8 KB) https://doi.org/10.28919/afpt/4659

Abstract

The main conclusion of this paper is the necessary and sufficient condition of the phase retrieval problem in general real normed space. The main tool is to prove

$\{\|x+\varphi_{n}\|, \|x-\varphi_{n}\|\}=\{\|y+\varphi_{n}\|, \|y-\varphi_{n}\|\}$

holds and equivalent conditions of the above equation. So we can find the equivalent condition of phase retrieval.

Published
3 June 2020
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2020 Meimei Song, Lingen Zhu. 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.

Cite this article

M. Song, L. Zhu, Phase retrieval revisited, Adv. Fixed Point Theory 10 (2020), 9. https://doi.org/10.28919/afpt/4659

BibTeX
@article{Song2020,
  author  = {Song, Meimei and Zhu, Lingen},
  title   = {Phase retrieval revisited},
  journal = {Adv. Fixed Point Theory},
  volume  = {10},
  year    = {2020},
  pages   = {9},
  doi     = {10.28919/afpt/4659}
}