The Ergodicity of the Convolution on a Vector Space
Yoshiaki Okazaki
Kyushu University, Fukuoka, JapanYasuji Takahashi
Yamaguchi University, Yamaguchi City, Japan
![The Ergodicity of the Convolution $μ*υ$ on a Vector Space cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-23-issue-4.png&w=3840&q=90)
Abstract
Let be a subgroup of a vector space and be two probability measures on . If and are -quasi-invariant and -ergodic, then the convolution is also -ergodic.
Cite this article
Yoshiaki Okazaki, Yasuji Takahashi, The Ergodicity of the Convolution on a Vector Space. Publ. Res. Inst. Math. Sci. 23 (1987), no. 4, pp. 727–730
DOI 10.2977/PRIMS/1195176254