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A remark on Arakelyan's theorem in higher dimensions
Journal
Colloquium Mathematicum
70
Author
Lewandowski Arkadiusz
Volume
165
Pages
91-96
ISSN
0010-1354
eISSN
1730-6302
Keywords in English
Arakelyan theorem
Mergelyan theorem
bounded exhaustion hulls property
polynomial convexity
Language
English
Journal language
English
Abstract in English
We prove that any continuous function on a ray of balls, say E, in Cm, which is holomorphic in the interior of E, can be uniformly approximated on E by entire functions. This can be viewed as a variant of Arakelyan’s approximation theorem in higher dimensions.
Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
1
| dc.abstract.en | We prove that any continuous function on a ray of balls, say E, in Cm, which is holomorphic in the interior of E, can be uniformly approximated on E by entire functions. This can be viewed as a variant of Arakelyan’s approximation theorem in higher dimensions. | pl |
| dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
| dc.contributor.author | Lewandowski, Arkadiusz - 135964 | pl |
| dc.date.accessioned | 2021-08-04T13:21:13Z | |
| dc.date.available | 2021-08-04T13:21:13Z | |
| dc.date.issued | 2021 | pl |
| dc.description.physical | 91-96 | pl |
| dc.description.volume | 165 | pl |
| dc.identifier.doi | 10.4064/cm8189-6-2020 | pl |
| dc.identifier.eissn | 1730-6302 | pl |
| dc.identifier.issn | 0010-1354 | pl |
| dc.identifier.project | ROD UJ / O | pl |
| dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/276955 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights | Dodaję tylko opis bibliograficzny | * |
| dc.rights.licence | Bez licencji otwartego dostępu | |
| dc.rights.uri | * | |
| dc.subject.en | Arakelyan theorem | pl |
| dc.subject.en | Mergelyan theorem | pl |
| dc.subject.en | bounded exhaustion hulls property | pl |
| dc.subject.en | polynomial convexity | pl |
| dc.subtype | Article | pl |
| dc.title | A remark on Arakelyan's theorem in higher dimensions | pl |
| dc.title.journal | Colloquium Mathematicum | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
dc.abstract.enpl
We prove that any continuous function on a ray of balls, say E, in Cm, which is holomorphic in the interior of E, can be uniformly approximated on E by entire functions. This can be viewed as a variant of Arakelyan’s approximation theorem in higher dimensions. dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki dc.contributor.authorpl
Lewandowski, Arkadiusz - 135964 dc.date.accessioned
2021-08-04T13:21:13Z dc.date.available
2021-08-04T13:21:13Z dc.date.issuedpl
2021 dc.description.physicalpl
91-96 dc.description.volumepl
165 dc.identifier.doipl
10.4064/cm8189-6-2020 dc.identifier.eissnpl
1730-6302 dc.identifier.issnpl
0010-1354 dc.identifier.projectpl
ROD UJ / O dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/276955 dc.languagepl
eng dc.language.containerpl
eng dc.rights*
Dodaję tylko opis bibliograficzny dc.rights.licence
Bez licencji otwartego dostępu dc.rights.uri*
dc.subject.enpl
Arakelyan theorem dc.subject.enpl
Mergelyan theorem dc.subject.enpl
bounded exhaustion hulls property dc.subject.enpl
polynomial convexity dc.subtypepl
Article dc.titlepl
A remark on Arakelyan's theorem in higher dimensions dc.title.journalpl
Colloquium Mathematicum dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Matematyki i Informatyki
Lewandowski, Arkadiusz
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