Convolutions Connected with Second-Order Linear Differential Operators

Abstract

In contrast to the differentiation operator playing a basic role in analysis, the linear differential operators of the second order are of most essential importance in mathematical physics. Here the classical Sturm-Liouville boundary value problem should be mentioned. But in some modern problems the local boundary conditions, as those in the Sturm-Liouville problem, are inadequate and the need of a general treatment of non-local boundary value conditions arises.