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Description: |
This talk deals with simultaneous rational approximation. In particular we study Hermite-Padé approximants of analytic and meromorphic functions of Markov type. The central results of this work is about of convergence of type I Hermite-Padé approximants of a Nikishin system. In the literature one can find a number of results on the convergence of type II Hermite-Padé approximants, but in this talk we present the first result about the convergence of type I Hermite-Padé approximants. Moreover, we study the convergence of type II Hermite-Padé approximants to a Nikishin system which has been perturbed by rational functions. This kind of problem was first study by A.A Gonchar in 1975 for the usual Padé approximantion. The generalization to Hermite-Padé for the case of m=2 (a system of two functions) was considered by Bustamante and Lagomasino in 1994. In this work the general case for any m is proved. Finally, we want to present some open problems related with this topic.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Sergio Medina Peralta (Univ. Carlos III, Madrid, Spain)
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Institution: |
Univ. Carlos III of Madrid, Spain
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Place: |
Room 5.5
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| Research Groups: |
-Analysis
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See more:
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