Absolute continuity and spectral concentration for slowly decaying potentials

B. M. Brown, M. S. P. Eastham, D. K. R. McCormack

We consider the spectral function $\rho (\mu )$ $(\mu \ge 0)$ for the Sturm-Liouville equation $y^{{}^{\prime \prime }}+(\lambda -q)y=0$ on $[0,\infty )$ with the boundary condition $y(0)=0$ and where $q$ has slow…