dc.contributor.author | Putinar, M. | en |
dc.contributor.author | Stylianopoulos, Nikos S. | en |
dc.creator | Putinar, M. | en |
dc.creator | Stylianopoulos, Nikos S. | en |
dc.date.accessioned | 2019-12-02T10:38:03Z | |
dc.date.available | 2019-12-02T10:38:03Z | |
dc.date.issued | 2007 | |
dc.identifier.issn | 1661-8254 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57568 | |
dc.description.abstract | We prove by elementary means that, if the Bergman orthogonal polynomials of a bounded simply-connected planar domain, with sufficiently regular boundary, satisfy a finite-term relation, then the domain is algebraic and characterized by the fact that Dirichlet's problem with boundary polynomial data has a polynomial solution. This, and an additional compactness assumption, is known to imply that the domain is an ellipse. In particular, we show that if the Bergman orthogonal polynomials satisfy a three-term relation then the domain is an ellipse. This completes an inquiry started forty years ago by Peter Duren. © 2007 Birkhäuser Verlag Basel/Switzerland. | en |
dc.source | Complex Analysis and Operator Theory | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-34548096200&doi=10.1007%2fs11785-007-0013-2&partnerID=40&md5=39de5c9752bf6491f2201f9140daaa2f | |
dc.subject | Orthogonal polynomials | en |
dc.subject | Algebraic curves | en |
dc.subject | Bergman space | en |
dc.subject | Dirichlet's problem | en |
dc.title | Finite-term relations for planar orthogonal polynomials | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s11785-007-0013-2 | |
dc.description.volume | 1 | |
dc.description.issue | 3 | |
dc.description.startingpage | 447 | |
dc.description.endingpage | 456 | |
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>Cited By :12</p> | en |
dc.source.abbreviation | Complex Anal.Oper.Theory | en |
dc.contributor.orcid | Stylianopoulos, Nikos S. [0000-0002-1160-5094] | |
dc.gnosis.orcid | 0000-0002-1160-5094 | |