Resolvent estimates of the Dirac operator
| dc.creator | Pladdy, Chris | |
| dc.creator | Saito, Yoshimi | |
| dc.creator | Umeda, Tomio | |
| dc.date | 1999-02-14 | |
| dc.date.accessioned | 2026-07-07T05:27:54Z | |
| dc.date.available | 2026-07-07T05:27:54Z | |
| dc.description | We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that the norm of R(s), as a bounded operator between two weighted Hilbert spaces of square integrable functions on the 3-dimensional Euclidean space, stays bounded. Also we shall show that R(s) converges 0 strongly as |s| increases to infinity. This result and a result of Yamada [15] are combined to indicate that the extended resolvent of the Dirac operator decays much more slowly than those of Schroedinger operators. | |
| dc.description | 28 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/9902084 | |
| dc.identifier | http://arxiv.org/abs/math/9902084 | |
| dc.identifier | Analysis 15 (1995) 123-149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78102 | |
| dc.subject | Spectral Theory | |
| dc.title | Resolvent estimates of the Dirac operator | |
| dc.type | text |