Infinite Taylor interpolation

Frerick, Leonhard; Müller, Jürgen

doi:10.1090/S0002-9939-97-03954-3

Infinite Taylor interpolation
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by Leonhard Frerick and Jürgen Müller PDF

Proc. Amer. Math. Soc. 125 (1997), 3331-3337 Request permission

Abstract:

Let $G$ be a region in $\mathbb C$, let $\alpha$ be a point in $G$, and let $\Lambda$ be an infinite set of nonnegative integers. We consider the question whether there exists a function which is holomorphic in $G$ and has prescribed derivatives of order $\nu$ at $\alpha$ for all $\nu \in \Lambda$.

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