Title: Orthogonal rational functions with complex poles: the Favard theorem
Authors: Deckers, Karl
Bultheel, Adhemar
Issue Date: Feb-2008
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW518
Abstract: Let {φ_n} be a sequence of rational functions with arbitrary complex poles, generated by a certain three-term recurrence relation. In this paper we show that under some mild conditions, the rational functions φ_n form an orthonormal system with respect to a Hermitian positive-definite inner product.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section

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