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- W2949722131 abstract "Given a system of functions f = (f1, . . . , fd) analytic on a neighborhood of some compact subset E of the complex plane, we give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of multipoint Hermite-Pade approximants. The exact rate of convergence of these denominators and of the approximants themselves is given in terms of the analytic properties of the system of functions. These results allow to detect the location of the poles of the system of functions which are in some sense closest to E." @default.
- W2949722131 created "2019-06-27" @default.
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- W2949722131 date "2018-10-12" @default.
- W2949722131 modified "2023-09-27" @default.
- W2949722131 title "Direct and Inverse Results for Multipoint Hermite-Pade Approximants" @default.
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- W2949722131 doi "https://doi.org/10.48550/arxiv.1810.07061" @default.
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