On Quasi-invariance of Infinite Product Measures |
| |
Authors: | Gaku Sadasue |
| |
Institution: | (1) Department of Mathematics, Osaka Kyoiku University, 4-698-1, Asahigaoka, Kashiwara, Osaka 582-8582, Japan |
| |
Abstract: | Quasi-invariance of infinite product measures is studied when a locally compact second countable group acts on a standard
Borel space. A characterization of l
2-quasi-invariant infinite product measures is given. The group that leaves the measure class invariant is also studied. In
the case where the group acts on itself by translations, our result extends previous ones obtained by Shepp (Ann. Math. Stat.
36:1107–1112, 1965) and by Hora (Math. Z. 206:169–192, 1991; J. Theor. Probab. 5:71–100, 1992) to all connected Lie groups.
|
| |
Keywords: | Infinite product measure Quasi-invariance Quasi-invariant subgroup G-space |
本文献已被 SpringerLink 等数据库收录! |
|