Bergman orthogonal polynomials on an archipelago
2008 (French)In: Comptes rendus. Mathematique, ISSN 1631-073X, Vol. 346, no 9-10, 499-502 p.Article in journal (Refereed) Published
Growth estimates for orthogonal polynomials with respect to area measure (Bergman polynomials) over the union of finitely many Jordan regions with piecewise smooth boundary are obtained by a careful investigation of the Green function of the complement, and of Schwarz reflection in analytic arcs of the boundary. As applications we obtain a detailed picture of the limiting zero distribution of Bergman's orthogonal polynomials, and also we propose a robust reconstruction algorithm of the original open set, starting from incomplete data (such as obtained by geometric tomography).
Place, publisher, year, edition, pages
2008. Vol. 346, no 9-10, 499-502 p.
planar domains, approximation
IdentifiersURN: urn:nbn:se:kth:diva-17576DOI: 10.1016/j.crma.2008.03.001ISI: 000256409100005ScopusID: 2-s2.0-43049089127OAI: oai:DiVA.org:kth-17576DiVA: diva2:335620
QC 201005252010-08-052010-08-05Bibliographically approved