A direct approach to convergence of multivariate,nonhomogeneous, Padé approximants |
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| Authors: | A Cuyt KA Driver DS Lubinsky |
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| Institution: | 1. Department of Mathematics, University of Antwerp, Universiteitsplein 1, B-2610, Wilrijk, Belgium;2. Department of Mathematics, Witwatersrand University, P.O. Wits 2050, South Africa |
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| Abstract: | We present a direct approach for proving convergence in measure/product capacity of multivariate, nonhomogeneous, Padé approximants. Previous approaches have involved projection onto Padé-type approximation in one variable, and only yielded convergence in (Lebesgue) measure. |
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| Keywords: | Multivariate Padé approximants Nonhomogeneous approximants Nuttall-Pommerenke theorems |
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