Inverse Theorem on Row Sequences of Linear Pad\'e-orthogonal Approximation
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🧮 math.CV
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approximantse-orthogonallinearsequencestheoremanalogueapproximationcompact
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We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Pad\'e-orthogonal approximants corresponding to a measure supported on a general compact set in the complex plane. Thereby, we obtain an analogue of Gonchar's theorem on row sequences of Pad\'e approximants.
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