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Modes of Convergence: Interpolation Methods I

✍ Scribed by Joaquim Martı́n; Mario Milman

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
228 KB
Volume
111
Category
Article
ISSN
0021-9045

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We study the following problem. Given a domain 0 containing infinity, is it possible to choose a sequence of polynomials Q n , n=1, 2, ..., where Q n has degree n, so that the following condition holds: if a function f is analytic in 0 and P n is the polynomial part of the Laurent expansion of Q n f