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Bergman orthogonal polynomials on an archipelago
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-3125-3030
2008 (French)In: Comptes rendus. Mathematique, ISSN 1631-073X, E-ISSN 1778-3569, Vol. 346, no 9-10, 499-502 p.Article in journal (Refereed) Published
Abstract [fr]

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.
Keyword [fr]
planar domains, approximation
Identifiers
URN: urn:nbn:se:kth:diva-17576DOI: 10.1016/j.crma.2008.03.001ISI: 000256409100005Scopus ID: 2-s2.0-43049089127OAI: oai:DiVA.org:kth-17576DiVA: diva2:335620
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Gustafsson, Björn

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