| dc.contributor.author | Bochnak, Jacek | |
| dc.contributor.author | Gwoździewicz, Janusz | |
| dc.contributor.author | Kucharz, Wojciech | |
| dc.date.accessioned | 2018-11-13T12:44:34Z | |
| dc.date.available | 2018-11-13T12:44:34Z | |
| dc.date.issued | 2018-11-12 | |
| dc.identifier.uri | http://publications.mfo.de/handle/mfo/1392 | |
| 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. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Mathematisches Forschungsinstitut Oberwolfach | en_US |
| dc.relation.ispartofseries | Oberwolfach Preprints;2018,25 | |
| dc.subject | Power series | en_US |
| dc.subject | Analytic function | en_US |
| dc.subject | Nash function | en_US |
| dc.subject | Regular function | en_US |
| dc.subject | Algebraic set | en_US |
| dc.title | Criteria for Algebraicity of Analytic Functions | en_US |
| dc.type | Preprint | en_US |
| 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. | de |
| 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. | en |
| dc.identifier.doi | 10.14760/OWP-2018-25 | |
| local.scientificprogram | Research in Pairs 2018 | en_US |
| local.series.id | OWP-2018-25 | en_US |
| local.subject.msc | 13 | en_US |
| local.subject.msc | 14 | en_US |
| local.subject.msc | 32 | en_US |
| local.subject.msc | 58 | en_US |
| dc.identifier.urn | urn:nbn:de:101:1-2018121110274027949796 | |
| dc.identifier.ppn | 1657807487 | |
