Title: Orthogonal rational functions on the real half line with poles in [- ∞,0]
Authors: Bultheel, Adhemar
González-Vera, Pablo
Hendriksen, Erik
Njåstad, Olav #
Issue Date: Aug-2003
Conference: Conference on Orthogonal Functions and Related Topics location:Roros, Norway date:August 12-16, 2003
Abstract: The main objective is to generalize previous results obtained for orthogonal Laurent polynomials and in the context of Stieltjes moment problems to the multipoint case. The measure of orthogonality is supposed to have a support on [0,∞) while the orthogonal rational functions will have poles that are assumed to be "in the neighborhood of 0 and infinity". In this way orthogonal Laurent polynomials will be a special case obtained when all the poles are at 0 and infinity. We shall introduce the restrictions on the measure and the locations of the poles gradually and derive recurrence relations, Christoffel-Darboux relations, and the solution of the rational Stieltjes moment problem under appropriate conditions.
Publication status: published
KU Leuven publication type: IMa
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
# (joint) last author

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