Hankel forms

@article{HenryHelson2010,
abstract = {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.},
author = {Henry Helson},
journal = {Studia Mathematica},
keywords = {Hankel form; Nehari's theorem; infinite-dimensional torus},
language = {eng},
number = {1},
pages = {79-84},
title = {Hankel forms},
url = {http://eudml.org/doc/285375},
volume = {198},
year = {2010},
}

TY - JOUR
AU - Henry Helson
TI - Hankel forms
JO - Studia Mathematica
PY - 2010
VL - 198
IS - 1
SP - 79
EP - 84
AB - 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.
LA - eng
KW - Hankel form; Nehari's theorem; infinite-dimensional torus
UR - http://eudml.org/doc/285375
ER -