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DC Field | Value | Language |
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dc.contributor.author | Massaneda Clares, Francesc Xavier | - |
dc.contributor.author | Nicolau Nos, Artur | - |
dc.contributor.author | Thomas, Pascal J. | - |
dc.date.accessioned | 2023-01-20T09:23:22Z | - |
dc.date.available | 2023-01-20T09:23:22Z | - |
dc.date.issued | 2019-04-15 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.uri | http://hdl.handle.net/2445/192389 | - |
dc.description.abstract | Let $I$ be an inner function in the unit disk $\mathbb{D}$ and let $\mathcal{N}$ denote the Nevanlinna class. We prove that under natural assumptions, Bezout equations in the quotient algebra $\mathcal{N} / I \mathcal{N}$ can be solved if and only if the zeros of $I$ form a finite union of Nevanlinna interpolating sequences. This is in contrast with the situation in the algebra of bounded analytic functions, where being a finite union of interpolating sequences is a sufficient but not necessary condition. An analogous result in the Smirnov class is proved as well as several equivalent descriptions of Blaschke products whose zeros form a finite union of interpolating sequences in the Nevanlinna class. | - |
dc.format.extent | 26 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.jfa.2018.08.001 | - |
dc.relation.ispartof | Journal of Functional Analysis, 2019, vol. 276, num. 8, p. 2636-2661 | - |
dc.relation.uri | https://doi.org/10.1016/j.jfa.2018.08.001 | - |
dc.rights | cc-by-nc-nd (c) Elsevier, 2019 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de Nevanlinna | - |
dc.subject.classification | Funcions de variables complexes | - |
dc.subject.classification | Teoria geomètrica de funcions | - |
dc.subject.other | Nevanlinna theory | - |
dc.subject.other | Functions of complex variables | - |
dc.subject.other | Geometric function theory | - |
dc.title | The Corona Property in Nevanlinna quotient algebras and interpolating sequences | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 695068 | - |
dc.date.updated | 2023-01-20T09:23:23Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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