On non-uniqueness of phase retrieval in multidimensions
Mathematical Physics
2025-09-01 v3 math.MP
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.
Cite
@article{arxiv.2407.05030,
title = {On non-uniqueness of phase retrieval in multidimensions},
author = {Roman Novikov and Tianli Xu},
journal= {arXiv preprint arXiv:2407.05030},
year = {2025}
}
Comments
We substantially revised the previous version