On the Carleson measure criterion in linear systems theory
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HAAK, Bernhard H. | |
| dc.date.accessioned | 2024-04-04T02:43:43Z | |
| dc.date.available | 2024-04-04T02:43:43Z | |
| dc.date.issued | 2008-12-11 | |
| dc.identifier.issn | 1661-8254 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191353 | |
| dc.description.abstractEn | 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.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | On the Carleson measure criterion in linear systems theory | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 0804.3000 | |
| bordeaux.journal | Complex Analysis and Operator Theory | |
| bordeaux.page | 1-19 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00274320 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00274320v1 | |
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