On translation-bounded measures

Journal of the Australian Mathematical Society

A. P. Robertson¹ 

[1] M. L. Thornett

关键词: primary 60 G 10;    secondary 28 A 33;    42 B 10;   

DOI  :  10.1017/S1446788700021820

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

It is shown that a positive measure μ on the Borel subsets of Rk is translation-bounded if and only if the Fourier transform of the indicator function of every bounded Borel subset of Rk belongs to L2(μ).

【 授权许可】

Unknown