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

Autor: Instanes, Sarah May
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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

Comment: 36 pages, 14 figures, References moved from before the appendix to after the appendix

Databáze: arXiv