On the group of rational spectral units with finite order
Group Theory
2009-07-07 v1 Combinatorics
Abstract
The problem of phase retrieval is a difficult one which remains far from solved. Two homometric sets are always connected by way of a convolution product by some spectral unit, though not necessarily in a unique way. Here we elucidate one small aspect, the subgroup of spectral units with finite order. Its elements are completely characterized by relations between their eigenvalues. This sheds some light on the beltway problem.
Cite
@article{arxiv.0907.0857,
title = {On the group of rational spectral units with finite order},
author = {Emmanuel Amiot},
journal= {arXiv preprint arXiv:0907.0857},
year = {2009}
}
Comments
12 pages, monography