Hankel forms and sums of random variables

被引：34
作者：
Helson, Henry [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
STUDIA MATHEMATICA | 2006年 / 176卷 / 01期
关键词：
Hankel form; Hilbert-Schmidt form; homogeneous Fourier series;
D O I：
10.4064/sm176-1-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：85 / 92
页数：8
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