Regular solutions of multiplicative-convolution equation in the Vladimirov algebra

Abstract

© 2015 Leila Salekhova and Elvira Chebotareva. The aim of this paper is to prove existence and uniqueness of reg-ular solution of multiplicative-convolution equation in the convolutionsubalgebra of the Vladimirov multiplicative algebra. We also considerthe method of constructing solutions of this equation..