PSEUDODIFFERENTIAL-OPERATORS AND DERIVATIVES ON LOCALLY COMPACT VILENKIN GROUPS

Many mathematicians pay their great attention to the study of the concept of derivatives for functions defined on locally compact Vilenkin groups. In this paper, this topic is investigated by virtue of so-called pseudo-differential operators. We give the definitions of derivatives and integrals of functions defined on locally compact Vilenkin groups and study their properties, then give an application example.