Continuous linear functionals on certain function spaces satisfying a system of two singular second order differential equations

Abstract

In this paper, we study a system of two singular second order differential equations, which arises from the theory of harmonic analysis on complex symmetric spaces. First of all, the distributional solutions on an neighborhood of zero in R2 are determined. Next, some new function spaces are introduced and the system is solved in the duals of these new spaces.

Function spacesingular differential equation