Absolute continuity and spectral concentration for slowly decaying potentials
| dc.creator | Brown, B. M. | |
| dc.creator | Eastham, M. S. P. | |
| dc.creator | McCormack, D. K. R. | |
| dc.date | 1998-05-06 | |
| dc.date.accessioned | 2026-07-07T05:24:42Z | |
| dc.date.available | 2026-07-07T05:24:42Z | |
| dc.description | 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 decay $O(x^{-α})$ $(a>0)$ as $x\to \infty$. We develop our previous methods of locating spectral concentration for $q$ with rapid exponential decay (JCAM 81 (1997) 333-348) to deal with the new theoretical and computational complexities which arise for slow decay. | |
| dc.identifier | https://arxiv.org/abs/math/9805025 | |
| dc.identifier | http://arxiv.org/abs/math/9805025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76901 | |
| dc.subject | Spectral Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 34A12 | |
| dc.title | Absolute continuity and spectral concentration for slowly decaying potentials | |
| dc.type | text |