A Beurling-Helson type theorem for modulation spaces
Classical Analysis and ODEs
2008-01-10 v1 Functional Analysis
Abstract
We prove a Beurling-Helson type theorem on modulation spaces. More precisely, we show that the only changes of variables that leave invariant the modulation spaces are affine functions on . A special case of our result involving the Sj\"ostrand algebra was considered earlier by A. Boulkhemair.
Cite
@article{arxiv.0801.1338,
title = {A Beurling-Helson type theorem for modulation spaces},
author = {Kasso A Okoudjou},
journal= {arXiv preprint arXiv:0801.1338},
year = {2008}
}