Dissertation/Thesis Abstract

Generalized Phase Retrieval: Isometries in Vector Spaces
by Park, Josiah, M.A., University of South Florida, 2016, 27; 10103854
Abstract (Summary)

In this thesis we generalize the problem of phase retrieval of vector to that of multi-vector. The identification of the multi-vector is done up to some special classes of isometries in the space. We give some upper and lower estimates on the minimal number of multi-linear operators needed for the retrieval. The results are preliminary and far from sharp.

Indexing (document details)
Advisor: Shekhtman, Boris
Commitee: Elhamdadi, Mohamed, Teodorescu, Razvan
School: University of South Florida
Department: Mathematics and Statistics
School Location: United States -- Florida
Source: MAI 55/04M(E), Masters Abstracts International
Subjects: Mathematics
Keywords: Algebraic variety, Inverse problem, Isometry, Lie group, Phase retrieval, Vector spaces
Publication Number: 10103854
ISBN: 978-1-339-67396-7
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