A qualitative uncertainty principle for semisimple Lie groups

Journal of the Australian Mathematical Society

Michael Cowling¹ 

[1] John F. Price

关键词: 43 A 30;    22 E 30;   

DOI  :  10.1017/S144678870003233X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Recently M. Benedicks showed that if a function f ∈ L2(Rd) and its Fourier transform both have supports of finite measure, then f = 0 almot everywhere. In this paper we give a version of this result for all noncompact semisimple connected Lie groups with finite centres.

【 授权许可】

Unknown