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.

引用

页码：85 / 92

页数：8

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