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... Show moreIn 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. Show less
