Bernstein-Walsh type theorems for real analytic functions in several variables
dc.bibliographicCitation.volume | 1390 | |
dc.contributor.author | Kraus, Christiane | |
dc.date.accessioned | 2016-03-24T17:38:25Z | |
dc.date.available | 2019-06-28T08:03:33Z | |
dc.date.issued | 2008 | |
dc.description.abstract | The aim of this paper is to extend the classical maximal convergence theory of Bernstein and Walsh for holomorphic functions in the complex plane to real analytic functions in R^N. In particular, we investigate the polynomial approximation behavior for functions $F: L to C, L= (Re z, Im z ) : z in K$, of the type $F= g overline h$, where g and h are holomorphic in a neighborhood of a compact set $K subset C^N$. To this end the maximal convergence number $rho(S_c,f)$ for continuous functions f defined on a compact set $S_c subset C^N$ is connected to a maximal convergence number $rho(S_r,F)$ for continuous functions F defined on a compact set $S_r subset R^N$. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.uri | https://doi.org/10.34657/2061 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2056 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1390, 0946-8633 | eng |
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. | eng |
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. | ger |
dc.subject | Polynomial approximation in higher dimensions | eng |
dc.subject | Bernstein-Walsh’s type theorems | eng |
dc.subject | real-analytic functions in RN | eng |
dc.subject | Maximal convergence | eng |
dc.subject | Plurisubharmonicity | eng |
dc.subject | Pluricomplex Green functions | eng |
dc.subject.ddc | 510 | eng |
dc.title | Bernstein-Walsh type theorems for real analytic functions in several variables | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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