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2010

Growth properties of Nevanlinna matrices for rational moment problems

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Growth properties of Nevanlinna matrices for rational moment problems
We consider rational moment problems on the real line with their associated orthogonal rational functions. There exists a Nevanlinna type parameterization relating to the problem, with associated Nevanlinna matrices of functions having singularities in the closure of the set of poles of the rational functions belonging to the problem. We prove results related to the growth at the singularities of the functions in a Nevanlinna matrix, and in particular provide bounds on the growth analogous to the corresponding result in the classical polynomial case, when the number of singularities is finite. Key words: rational moment problems, orthogonal rational functions, Nevanlinna parameterization, Riesz type criterion, growth estimates 2000 MSC: 30D15, 30E05, 42C05, 44A60
Adhemar Bultheel, Pablo González-Vera, Erik
Added 28 Jan 2011
Updated 28 Jan 2011
Type Journal
Year 2010
Where JAT
Authors Adhemar Bultheel, Pablo González-Vera, Erik Hendriksen, Olav Njåstad
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