Phase retrieval problem in space of lp(Γ) (0<p<1)

Yan, Yanan

doi:10.28919/jmcs/7967

J. Math. Comput. Sci. 13 (2023), Article ID 3

Phase retrieval problem in space of lp(Γ) (0<p<1)

Yanan Yan

PDF (139.5 KB) https://doi.org/10.28919/jmcs/7967

Abstract

In this paper, we use the injective of operator A_Φ to represent the uniqueness of the phase retrieval. We show that the relationship between the complement property (CP) and phase retrieval of frames in non-Banach space l^p(Γ) (0<p<1). Moreover, we also consider the stability of phase retrieval and quantify the stability by the ratio of the upper and lower bounds of the frame Φ in l^p(Γ) (0<p<1).

Published: 15 May 2023
Volume: 13 (2023)
License: CC BY 3.0

Copyright © 2023 Yanan Yan. 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

Y. Yan, Phase retrieval problem in space of lp(Γ) (0<p<1), J. Math. Comput. Sci. 13 (2023), 3. https://doi.org/10.28919/jmcs/7967

BibTeX

@article{Yan2023,
  author  = {Yan, Yanan},
  title   = {Phase retrieval problem in space of lp(Γ) (0<p<1)},
  journal = {J. Math. Comput. Sci.},
  volume  = {13},
  year    = {2023},
  pages   = {3},
  doi     = {10.28919/jmcs/7967}
}