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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/215652
Point evaluation in Paley-Wiener spaces
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We study the norm of point evaluation at the origin in the PaleyWiener space $P W^p$ for $0p / 2$ for $1 \leq p<2$. We also estimate the asymptotic behavior of $\mathscr{C}_p$ as $p \rightarrow \infty$ and as $p \rightarrow 0^{+}$. Our approach is based on expressing $\mathscr{C}_p$ as the solution of an extremal problem. Extremal functions exist for all $0
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FREDRIK BREVIG, Ole, et al. Point evaluation in Paley-Wiener spaces. Journal d'Analyse Mathematique. 2023. Vol. 153, num. 595-670. ISSN 0021-7670. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/215652