It is an open question whether Nehari's theorem on the circle group has an analogue on the infinite-dimensional torus. In this note it is shown that if the analogue holds, then some interesting inequalities follow for certain trigonometric polynomials on the torus. We think these inequalities are false but are not able to prove that.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-5,
author = {Henry Helson},
title = {Hankel forms},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {79-84},
zbl = {1229.47042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-5}
}
Henry Helson. Hankel forms. Studia Mathematica, Tome 196 (2010) pp. 79-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-5/