Hankel forms and sums of random variables
Volume 176 / 2006
Studia Mathematica 176 (2006), 85-92
MSC: 43A15, 30B50, 15A63.
DOI: 10.4064/sm176-1-6
Abstract
A well known theorem of Nehari asserts on the circle group that bilinear forms in $H^2$ can be lifted to linear functionals on $H^1$. 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 $L^p$ norms on the class of Steinhaus series are equivalent.
