Smooth operators for the action of SO(3) on L-2(S-2)

被引：1
|
作者：
Cordes, HO [1 ]
Melo, ST [1 ]
机构：
[1] UNIV SAO PAULO,INST MATEMAT & ESTATIST,BR-05315970 SAO PAULO,BRAZIL
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 1997年 / 28卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
D O I：
10.1007/BF01294153
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define the ''signature'' of a bounded operator A on L-2(S-2) and prove that A is smooth for the action of SO(3) on L-2(S-2) if and only if its signature is smooth and any finite application of certain differential operators to it yields the signature of a bounded operator. Moreover, we show that the ''formal Fourier multipliers with bounded and smoothly variable coefficients'' are well defined bounded operators which are SO(3)-smooth.
引用
收藏
页码：251 / 260
页数：10
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