On the Carleson measure criterion in linear systems theory
| dc.creator | Haak, Bernhard Hermann | |
| dc.date | 2008-04-18 | |
| dc.date | 2008-12-10 | |
| dc.date.accessioned | 2026-07-07T12:10:31Z | |
| dc.date.available | 2026-07-07T12:10:31Z | |
| dc.description | In Ho, Russell, and Weiss, a Carleson measure criterion for admissibility of one-dimensional input elements with respect to diagonal semigroups is given. We extend their results from the Hilbert space situation $X=\ell_2$ and $L^2$--admissibility to the more general situation of $L^p$--admissibility on $\ell_q$--spaces. In case of analytic diagonal semigroups we present a new result that does not rely on Laplace transform methods. A comparison of both criteria leads to result of $L^p$--admissibility for reciprocal systems in the sense of Curtain. | |
| dc.description | to appear in Complex Analysis and Operator Theory | |
| dc.identifier | https://arxiv.org/abs/0804.3000 | |
| dc.identifier | http://arxiv.org/abs/0804.3000 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209956 | |
| dc.subject | Optimization and Control | |
| dc.subject | Complex Variables | |
| dc.title | On the Carleson measure criterion in linear systems theory | |
| dc.type | text |