Characterization of Schwartz multipliers of nilpotent Lie groups

被引：3

作者：

Dhieb, S

Ludwig, J

机构：

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1997年 / 144卷 / 01期

关键词：

D O I：

10.1006/jfan.1996.2995

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new characterization of Schwartz multipliers on a nilpotent Lie group G with Lie algebra g. We use this characterization to give a sufficient condition for a function phi is an element of C-infinity(g*) to be the Fourier transform of a Schwartz multiplier and we indicate a simpler condition in the case of the Heisenberg group. (C) 1997 Academic Press.

引用

页码：46 / 63

页数：18

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