Graduation Year
2016
Document Type
Thesis
Degree
M.A.
Degree Name
Master of Arts (M.A.)
Degree Granting Department
Mathematics and Statistics
Major Professor
Boris Shekhtman, Ph.D.
Committee Member
Mohamed Elhamdadi, Ph.D.
Committee Member
Razvan Teodorescu, Ph.D.
Keywords
Phase Retrieval, Isometry, Lie Group, Inverse Problem, Algebraic Variety
Abstract
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.
Scholar Commons Citation
Park, Josiah, "Generalized Phase Retrieval: Isometries in Vector Spaces" (2016). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/6128
