On non-uniqueness of phase retrieval in multidimensions
Roman Novikov, Tianli Xu
Published: 2024/7/6
Abstract
We give a large class of examples of non-uniqueness for the phase retrieval problem in multidimensions. Our constructions are based on "oblique tensorization", where one-dimensional results are strongly used, and its generalizations towards complete description of non-uniqueness. Our examples include the case of functions with strongly disconnected compact support.