Quasi-invariance of measures of analytic type on locally compact abelian groups

被引：0

作者：

Yamaguchi, Hiroshi ^{[1
]}

机构：

[1] Josai Univ, Dept Math, Sakado, Saitama 35002, Japan

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2014年 / 43卷 / 01期

关键词：

LCA group; measure; Fourier transform; quasi-invariant; SINGULAR MEASURES; THEOREM; BOCHNER;

D O I：

10.14492/hokmj/1392906093

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Asmar, Montgomery-Smith and Saeki gave a generalization of a theorem of Bochner for a locally compact abelian group with certain direction. We show that a strong version of their result holds for a sigma-compact, connected locally compact abelian group with certain direction. We also give several conditions for quasi-invariance of analytic measures and another proof of a theorem of deLeeuw and Glicksberg.

引用

页码：51 / 64

页数：14

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