Author

Josiah Park

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

Algebraic Variety, Inverse Problem, Isometry, Lie Group, Phase Retrieval

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.

Included in

Mathematics Commons

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