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arXiv · 2409.11963

An optimization problem and point-evaluation in Paley-Wiener spaces

Sarah May Instanes
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Abstract

We study the constant $\mathscr{C}_p$ defined as the smallest constant $C$ such that $|f(0)|^p \leq C\|f\|_p^p$ holds for every function $f$ in the Paley-Wiener space $PW^p$. Brevig, Chirre, Ortega-Cerd\`a, and Seip have recently shown that $\mathscr{C}_p 2$. We improve this bound for $2<p \leq 5$ by solving an optimization problem.

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Sarah May Instanes. 2024-09-18. An optimization problem and point-evaluation in Paley-Wiener spaces. https://arxiv.org/abs/2409.11963

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