Estimates of parabolic cylinder functions on the real axis
| dc.creator | Pokrovski, Alexis | |
| dc.date | 2005-10-12 | |
| dc.date.accessioned | 2026-07-07T06:47:24Z | |
| dc.date.available | 2026-07-07T06:47:24Z | |
| dc.description | We estimate simple combination of the parabolic cylinder functions and their derivatives. These estimates are important for the spectral analysis of non-analytically perturbed quantum harmonic oscillator. The estimates are valid in rather complicated domains and refine there the classical result of Olver. We determine the part of the real x-axis, which is within the domains of the estimates. This requires a detailed study of the image of the real x-axis in the standard quasiclassical variable. | |
| dc.description | 25 pages, 5 PostScript figures | |
| dc.identifier | https://arxiv.org/abs/math/0510249 | |
| dc.identifier | http://arxiv.org/abs/math/0510249 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103643 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 34M60 (Primary), 34E20 (Secondary) | |
| dc.title | Estimates of parabolic cylinder functions on the real axis | |
| dc.type | text |