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.
|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|
|Keywords:||Algebraic variety, Inverse problem, Isometry, Lie group, Phase retrieval, Vector spaces|
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