A note on Riesz sets and lacunary sets

Journal of the Australian Mathematical Society

R. G. M. Brummelhuis¹ 

关键词: 43 A 05;    43 A 30;    43 A 46;    secondary 22 E 30;    43 A 77;   

DOI  :  10.1017/S1446788700035187

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

W. Rudin has proved that the union of the Riesz set N ⊆ R with a Λ(l)-subset of Z is again a Riesz set. In this note we generalize his result to compact groups whose contains a circle group, thereby extending an earlier F. and M. Riesz theorem for such groups by the author. We also investigate the possibility of constructing Λ(p)-sets for these groups, departing from Λ(p)-sets for the circle group in center.

【 授权许可】

Unknown