Weak Paley-Wiener property for completely solvable Lie groups

被引：4

作者：

Garimella, G ^{[1
]}

机构：

[1] Indian Stat Inst, Bangalore 560059, Karnataka, India

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1999年 / 187卷 / 01期

关键词：

D O I：

10.2140/pjm.1999.187.51

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a weak Paley-Wiener property for completely solvable Lie groups, i.e. if the group Fourier transform of a measurable, bounded and compactly supported function vanishes on a set of positive Plancherel measure then the function itself vanishes almost everywhere on the group.

引用

页码：51 / 63

页数：13

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