Traces of the Nevanlinna class on discrete sequences
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HARTMANN, Andreas | |
| hal.structure.identifier | Departament de Matemàtica Aplicada i Anàlisi [Barcelona] | |
| dc.contributor.author | MASSANEDA, X | |
| hal.structure.identifier | Departament de Matemàtiques [Barcelona] [UAB] | |
| dc.contributor.author | NICOLAU, A | |
| dc.date.accessioned | 2024-04-04T03:10:57Z | |
| dc.date.available | 2024-04-04T03:10:57Z | |
| dc.date.created | 2017 | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 1661-8254 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193729 | |
| dc.description.abstractEn | We show that a discrete sequence $\Lambda$ of the unit disk is the union of $n$ interpolating sequences for the Nevanlinna class $N$ if and only if the trace of $N$ on $\Lambda$ coincides with the space of functions on $\Lambda$ for which the divided differences of order $n - 1$ are uniformly controlled by a positive harmonic function. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Divided differences | |
| dc.subject.en | Interpolating sequences | |
| dc.subject.en | Nevanlinna class | |
| dc.title.en | Traces of the Nevanlinna class on discrete sequences | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1702.04974 | |
| bordeaux.journal | Complex Analysis and Operator Theory | |
| bordeaux.page | 1945-1958 | |
| bordeaux.volume | 12 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 8 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01467658 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01467658v1 | |
| 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=2018&rft.volume=12&rft.issue=8&rft.spage=1945-1958&rft.epage=1945-1958&rft.eissn=1661-8254&rft.issn=1661-8254&rft.au=HARTMANN,%20Andreas&MASSANEDA,%20X&NICOLAU,%20A&rft.genre=article |
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