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 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Complex%20Analysis%20and%20Operator%20Theory&rft.date=2008-12-11&rft.spage=1-19&rft.epage=1-19&rft.eissn=1661-8254&rft.issn=1661-8254&rft.au=HAAK,%20Bernhard%20H.&rft.genre=article |
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