Hankel forms and sums of random variables

Henry Helson. "Hankel forms and sums of random variables." Studia Mathematica 176.1 (2006): 85-92. <http://eudml.org/doc/284816>.

@article{HenryHelson2006,
abstract = {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 $L^\{p\}$ norms on the class of Steinhaus series are equivalent.},
author = {Henry Helson},
journal = {Studia Mathematica},
keywords = {Hankel form; lifting property; Hilbert-Schmidt form; homogeneous Fourier series},
language = {eng},
number = {1},
pages = {85-92},
title = {Hankel forms and sums of random variables},
url = {http://eudml.org/doc/284816},
volume = {176},
year = {2006},
}

TY - JOUR
AU - Henry Helson
TI - Hankel forms and sums of random variables
JO - Studia Mathematica
PY - 2006
VL - 176
IS - 1
SP - 85
EP - 92
AB - 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 $L^{p}$ norms on the class of Steinhaus series are equivalent.
LA - eng
KW - Hankel form; lifting property; Hilbert-Schmidt form; homogeneous Fourier series
UR - http://eudml.org/doc/284816
ER -