Multipoint Schur algorithm and orthogonal rational functions: convergence properties, I
| hal.structure.identifier | Analysis and Problems of Inverse type in Control and Signal processing [APICS] | |
| dc.contributor.author | BARATCHART, Laurent | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KUPIN, Stanislas | |
| hal.structure.identifier | Signal Processing Technology [Taiwan] | |
| dc.contributor.author | LUNOT, V. | |
| hal.structure.identifier | Analysis and Problems of Inverse type in Control and Signal processing [APICS] | |
| dc.contributor.author | OLIVI, Martine | |
| dc.date.accessioned | 2024-04-04T02:23:37Z | |
| dc.date.available | 2024-04-04T02:23:37Z | |
| dc.date.created | 2010-02-11 | |
| dc.date.issued | 2011-09 | |
| dc.identifier.issn | 0021-7670 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189750 | |
| dc.description.abstractEn | Classical Schur analysis is intimately connected to the theory of orthogonal polynomials on the circle [Simon, 2005]. We investigate here the connection between multipoint Schur analysis and orthogonal rational functions. Specifically, we study the convergence of the Wall rational functions via the development of a rational analogue to the Szeg\H o theory, in the case where the interpolation points may accumulate on the unit circle. This leads us to generalize results from [Khrushchev,2001], [Bultheel et al., 1999], and yields asymptotics of a novel type. | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.title.en | Multipoint Schur algorithm and orthogonal rational functions: convergence properties, I | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s11854-011-0016-9 | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 0812.2050 | |
| bordeaux.journal | Journal d'analyse mathématique | |
| bordeaux.page | 207-253 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00764820 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00764820v1 | |
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