Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials

A. M. Savchuk

In this paper we study a Sturm--Liouville operator $Ly=-y^{\prime \prime }+q(x)y$ in the space $L_2[0,\pi ]$ with Direchlet boundary conditions. Here the potential $q$ is a fitst order distribution…