Hankel forms

被引：28
|
作者：
Helson, Henry [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
STUDIA MATHEMATICA | 2010年 / 198卷 / 01期
关键词：
Hankel form; Nehari's theorem; infinite-dimensional torus;
D O I：
10.4064/sm198-1-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：79 / 84
页数：6
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