dc.contributor.author | Beckermann, B. | en |
dc.contributor.author | Stylianopoulos, Nikos S. | en |
dc.creator | Beckermann, B. | en |
dc.creator | Stylianopoulos, Nikos S. | en |
dc.date.accessioned | 2019-12-02T10:33:52Z | |
dc.date.available | 2019-12-02T10:33:52Z | |
dc.date.issued | 2017 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56486 | |
dc.description.abstract | By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by Kühnau (Ann Acad Sci Math 10:313–329, 1985), we improve on some recent results on strong asymptotics of Bergman polynomials outside the domain G of orthogonality, and on the entries of the Bergman shift operator. In our proofs, we suggest a new matrix approach involving the Grunsky matrix and use well-established results in the literature relating properties of the Grunsky matrix to the regularity of the boundary of G and the associated conformal maps. For quasiconformal boundaries, this approach allows for new insights for Bergman polynomials. © 2017 Springer Science+Business Media New York | en |
dc.source | Constructive Approximation | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85020229419&doi=10.1007%2fs00365-017-9381-7&partnerID=40&md5=65928905932bdb05a1a043f11cb2eeb9 | |
dc.subject | Conformal mapping | en |
dc.subject | Bergman orthogonal polynomials | en |
dc.subject | Bergman shift | en |
dc.subject | Faber polynomials | en |
dc.subject | Grunsky matrix | en |
dc.subject | Quasiconformal mapping | en |
dc.title | Bergman Orthogonal Polynomials and the Grunsky Matrix | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s00365-017-9381-7 | |
dc.description.startingpage | 1 | |
dc.description.endingpage | 25 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Article in Press</p> | en |
dc.source.abbreviation | Constr.Approx. | en |
dc.contributor.orcid | Stylianopoulos, Nikos S. [0000-0002-1160-5094] | |
dc.gnosis.orcid | 0000-0002-1160-5094 | |