SETS OF p-UNIQUENESS ON NONCOMMUTATIVE LOCALLY COMPACT GROUPS

被引：3

作者：

Derighetti, Antoine ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland

来源：

COLLOQUIUM MATHEMATICUM | 2017年 / 149卷 / 02期

关键词：

locally compact group; convolution operator; Figa-Talamanca-Herz algebra; pseudofunction; set of uniqueness; DITKIN SETS; ALGEBRAS; MULTIPLIERS;

D O I：

10.4064/cm7075-11-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a closed subgroup H of a locally compact group G is a set of p-uniqueness (1 < p < infinity) if and only if H is locally negligible. We also obtain the inverse projection theorem for sets of p-uniqueness.

引用

页码：257 / 263

页数：7

共 50 条

[1] SET OF UNIQUENESS ON NONCOMMUTATIVE LOCALLY COMPACT GROUPS
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[J]. STUDIA MATHEMATICA, 1988, 91 (01) : 1 - 15
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