Criteria for Algebraicity of Analytic Functions
| dc.bibliographicCitation.seriesTitle | Oberwolfach Preprints (OWP) | eng |
| dc.bibliographicCitation.volume | 25 | |
| dc.contributor.author | Bochnak, Jacek | |
| dc.contributor.author | Gwoździewicz, Janusz | |
| dc.contributor.author | Kucharz, Wojciech | |
| dc.date.accessioned | 2024-10-16T15:05:24Z | |
| dc.date.available | 2024-10-16T15:05:24Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend only on the behavior of such a function along irreducible nonsingular algebraic curves passing trough a given point. In the proofs we use results on algebraicity of formal power series, which are also established in this paper. | |
| dc.description.version | publishedVersion | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/16888 | |
| dc.identifier.uri | https://doi.org/10.34657/15910 | |
| dc.language.iso | eng | |
| dc.publisher | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach | |
| dc.relation.doi | https://doi.org/10.14760/OWP-2018-25 | |
| dc.relation.issn | 1864-7596 | |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | |
| dc.subject.ddc | 510 | |
| dc.subject.other | Power series | eng |
| dc.subject.other | Analytic function | eng |
| dc.subject.other | Nash function | eng |
| dc.subject.other | Regular function | eng |
| dc.subject.other | Algebraic set | eng |
| dc.title | Criteria for Algebraicity of Analytic Functions | |
| dc.type | Report | |
| dc.type | Text |
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