Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation
arXiv:1411.7056
Abstract
We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Padé-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 Padé approximants.
28 pages