JournalsprimsVol. 23, No. 4pp. 727–730

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
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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.

Cite this article

Yoshiaki Okazaki, Yasuji Takahashi, The Ergodicity of the Convolution <i>μ*υ</i> on a Vector Space. Publ. Res. Inst. Math. Sci. 23 (1987), no. 4, pp. 727–730

DOI 10.2977/PRIMS/1195176254