Spectral multipliers for Schroedinger operators with Poeschl-Teller potential
| dc.creator | Zheng, Shijun | |
| dc.date | 2006-10-03 | |
| dc.date | 2008-08-14 | |
| dc.date.accessioned | 2026-07-07T09:56:33Z | |
| dc.date.available | 2026-07-07T09:56:33Z | |
| dc.description | We prove a sharp Mihlin-Hormander multiplier theorem for Schroedinger operators $H$ on $\R^n$. The method, which allows us to deal with general potentials, improves Hebisch's method relying on heat kernel estimates for positive potentials. Our result applies to, in particular, the negative Poeschl-Teller potential $V(x)= -ν(ν+1) \sech^2 x $, $ν\in \N$, for which $H$ has a resonance at zero. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610096 | |
| dc.identifier | http://arxiv.org/abs/math/0610096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167017 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42B25, 35J10 | |
| dc.title | Spectral multipliers for Schroedinger operators with Poeschl-Teller potential | |
| dc.type | text |