Cyclicity in the harmonic Dirichlet space
| hal.structure.identifier | Laboratoire d'Analyse et de Mathématiques Appliquées [LAMA] | |
| dc.contributor.author | ABAKUMOV, Evgueni | |
| hal.structure.identifier | Département de Mathématiques | |
| dc.contributor.author | EL-FALLAH, Omar | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KELLAY, Karim | |
| hal.structure.identifier | Département de Mathématiques et de Statistiques | |
| dc.contributor.author | RANSFORD, Thomas | |
| dc.contributor.editor | Theta Ser. Adv. Math. | |
| dc.contributor.editor | 19 | |
| dc.contributor.editor | Theta | |
| dc.contributor.editor | Bucharest | |
| dc.date.created | 2015-06-04 | |
| dc.date.conference | 2015-06-04 | |
| dc.description.abstractEn | The harmonic Dirichlet space $\cD(\TT)$ is the Hilbert space of functions $f\in L^2(\TT)$ such that$$\|f\|_{\cD(\TT)}^2:=\sum_{n\in\ZZ}(1+|n|)|\hat{f}(n)|^2<\infty.$$We give sufficient conditions for $f$ to be cyclic in $\cD (\TT)$, in other words, for $\{\zeta ^nf(\zeta):\ n\geq 0\}$ to span a dense subspace of $\cD(\TT)$. | |
| dc.language.iso | en | |
| dc.source.title | Theta Series in Advanced Mathematics. | |
| dc.subject.en | cyclic vectors | |
| dc.subject.en | capacity | |
| dc.subject.en | Harmonic Dirichlet space | |
| dc.title.en | Cyclicity in the harmonic Dirichlet space | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1601.06572 | |
| bordeaux.conference.title | Conference on Harmonic and Functional, Analysis, Operator Theory and Applications. 1–10, Theta Ser. Adv. Math., 19, Theta, Bucharest, 2017. | |
| bordeaux.country | FR | |
| bordeaux.title.proceeding | Theta Series in Advanced Mathematics. | |
| bordeaux.conference.city | Bordeaux | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01261077 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | non | |
| hal.conference.end | 2017 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01261077v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Theta%20Series%20in%20Advanced%20Mathematics.&rft.au=ABAKUMOV,%20Evgueni&EL-FALLAH,%20Omar&KELLAY,%20Karim&RANSFORD,%20Thomas&rft.genre=unknown |
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