Imaginary Powers of the Dunkl Harmonic Oscillator
| dc.creator | Nowak, Adam | |
| dc.creator | Stempak, Krzysztof | |
| dc.date | 2009-02-11 | |
| dc.date.accessioned | 2026-07-07T12:40:41Z | |
| dc.date.available | 2026-07-07T12:40:41Z | |
| dc.description | In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on $\mathbb{R}^d$ isomorphic to $\mathbb{Z}^d_2$. We prove that imaginary powers of this operator are bounded on $L^p$, $1<p<\infty$, and from $L^1$ into weak $L^1$. | |
| dc.identifier | https://arxiv.org/abs/0902.1958 | |
| dc.identifier | http://arxiv.org/abs/0902.1958 | |
| dc.identifier | SIGMA 5 (2009), 016, 12 pages | |
| dc.identifier | doi:10.3842/SIGMA.2009.016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219514 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Imaginary Powers of the Dunkl Harmonic Oscillator | |
| dc.type | text |