Affine-type pairs on hypergroups and their ergodicity

Document Type : Research Paper

Authors

Department of Mathematics‎, ‎University of Qom‎, ‎Qom‎, ‎Iran

Abstract

In this paper, we introduce affine-type pairs on locally compact hypergroups and study their ergodicity and weakly ergodicity. Among other results, we give some applicable sufficient conditions for that an affine-type pair to be strongly totally dissipative. Inspiring the main results and concepts of this paper, the ergodicity on hypergroups can be studied extensively.

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