Orthogonal rational functions and nested disks (Q1359962)

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scientific article; zbMATH DE number 1033756
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Orthogonal rational functions and nested disks
scientific article; zbMATH DE number 1033756

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    Orthogonal rational functions and nested disks (English)
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    20 November 1997
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    Let \(\mu\) be a finite positive Borel measure supported on the unit circle. Consider the associated sequence of orthogonal rational functions with respect to \(\mu\) whose poles are fixed according to a Newtonian table of points. The authors develop a nested disk theory to characterize the cases when the measure that generates a given sequence of orthogonal rational functions is unique.
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    orthogonal rational functions
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    determinate moment problem
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