A spectral multiplier theorem for a sublaplacian on SU(2)

被引：63
作者：
Cowling, M [1 ]
Sikora, A
机构：
[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
[2] Australian Natl Univ, Sch Math Sci, Ctr Math & Applicat, Canberra, ACT 0200, Australia
来源：
MATHEMATISCHE ZEITSCHRIFT | 2001年 / 238卷 / 01期
关键词：
D O I：
10.1007/PL00004894
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a Hormander-type spectral multiplier theorem for a sublaplacian on SU(2), with critical index determined by the Euclidean dimension of the group. This result is the analogue for SU(2) of the result for the Heisenberg group obtained by D. Muller and E.M. Stein and by W. Hebisch.
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页码：1 / 36
页数：36
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