Extension methods for convolution type operators

Abstract

The purpose of this work is to present a study of extension methods for convolution type operators defined bywhere Ω is defined by the union of intervals in different ways.The extension methods presented are useful to construct relations between operators and is well known that the relations between operators presented in this work plays an important role in the study of a large number of mathematical and physical problems in particular in the problems of wave diffraction and receive great importance in many other applications.