JournalsprimsVol. 23 , No. 4DOI 10.2977/prims/1195176254

The Ergodicity of the Convolution <i>μ*υ</i> on a Vector Space

  • Yoshiaki Okazaki

    Kyushu University, Fukuoka, Japan
  • Yasuji Takahashi

    Yamaguchi University, Yamaguchi City, Japan
The Ergodicity of the Convolution <i>μ*υ</i> on a Vector Space cover

Abstract

Let G be a subgroup of a vector space X and μ,υ be two probability measures on X. If μ and υ are G-quasi-invariant and G-ergodic, then the convolution μ*υ is also G-ergodic.