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arXiv · 2303.04514

Lidstone interpolation I. One variable

Michel Waldschmidt
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Abstract

According to Lidstone interpolation theory, an entire function of exponential type $<\pi$ is determined by it derivatives of even order at $0$ and $1$. This theory can be generalized to several variables. Here we survey the theory for a single variable. Complete proofs are given. This first paper of a trilogy is devoted to Univariate Lidstone interpolation; Bivariate and Multivariate Lidstone interpolation will be the topic of two forthcoming papers.

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Michel Waldschmidt. 2023-03-08. Lidstone interpolation I. One variable. https://arxiv.org/abs/2303.04514

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