M. Eastham

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math.SP2000

Analytic continuation and resonance-free regions for Sturm-Liouville pote ntials with power decay

B. M. Brown, M. S. P. Eastham

We are concerned with the Sturm-Liouville problem on the half line. We show that when the potential $q$ is subject only to power decay at infinity the $L^{2}$ solution may be continu…

math.SP1998

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 $ρ (μ)$ $(μ \geq 0)$ for the Sturm-Liouville equation $y^{^{''}} + (λ - q) y = 0$ on $[0, \infty)$ with the boundary condition $y (0) = 0$ and where $q$ has slow…