A well known theorem of Nehari asserts on the circle group that bilinear forms in H² can be lifted to linear functionals on H¹. We show that this result can be extended to Hankel forms in infinitely many variables of a certain type. As a corollary we find a new proof that all the norms on the class of Steinhaus series are equivalent.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-1-6,
author = {Henry Helson},
title = {Hankel forms and sums of random variables},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {85-92},
zbl = {1108.43003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-1-6}
}
Henry Helson. Hankel forms and sums of random variables. Studia Mathematica, Tome 173 (2006) pp. 85-92. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-1-6/