Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation

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.

arXiv comment28 pages

References in corpus (2)

• An expansion for polynomials orthogonal over an analytic Jordan curve
• Determining Singularities Using Row Sequences of Padé-orthogonal Approximants