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Bergman orthogonal polynomials on an archipelago
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).ORCID-id: 0000-0002-3125-3030
2008 (fransk)Inngår i: Comptes rendus. Mathematique, ISSN 1631-073X, E-ISSN 1778-3569, Vol. 346, nr 9-10, s. 499-502Artikkel i tidsskrift (Fagfellevurdert) 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).

sted, utgiver, år, opplag, sider
2008. Vol. 346, nr 9-10, s. 499-502
Emneord [fr]
planar domains, approximation
Identifikatorer
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, id: diva2:335620
Merknad
QC 20100525Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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