Inverse Theorem on Row Sequences of Linear Pad\'e-orthogonal Approximation

N. Bosuwan; G. López Lagomasino

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arXiv · 1411.7056

Inverse Theorem on Row Sequences of Linear Pad\'e-orthogonal Approximation

N. Bosuwan·G. López Lagomasino

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Abstract

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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N. Bosuwan, G. López Lagomasino. 2014-11-25. Inverse Theorem on Row Sequences of Linear Pad\'e-orthogonal Approximation. https://arxiv.org/abs/1411.7056

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