Generalized Phase Retrieval: Isometries in Vector Spaces

Publication Year:
Usage 337
Abstract Views 192
Downloads 145
Repository URL:
Park, Josiah
Phase Retrieval; Isometry; Lie Group; Inverse Problem; Algebraic Variety
thesis / dissertation description
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.