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Trianguläre interpolation
Authors:Michael Meyer
Affiliation:1. Abteilung für Diskrete Mathematik Institut für Algebra und Diskrete Mathematik, Technische Universit?t Wien, Gu?hausstra?e 27-29, A-1040, Wien, ?sterreich
Abstract:Triangular interpolation problems (problems with biorthogonal polynomial sequence) are studied. Convergence of the corresponding interpolation series is investigated. It is shown that the interpolation polynomials form a basis in appropriate nuclear Fréchet spaces. The results are applied to the interpolation of weighted remainders and the Abel-Gončarov interpolation problem.
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