Contractive projections in Paley-Wiener spaces

Kulikov, Aleksei; Zlotnikov, Ilya

doi:10.1090/proc/16336

Contractive projections in Paley-Wiener spaces
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by Aleksei Kulikov and Ilya Zlotnikov;

Proc. Amer. Math. Soc. 151 (2023), 1637-1641

DOI: https://doi.org/10.1090/proc/16336

Published electronically: January 30, 2023

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Abstract:

Let $S_1$ and $S_2$ be disjoint finite unions of parallelepipeds. We describe necessary and sufficient conditions on the sets $S_1,S_2$ and exponents $p$ such that the canonical projection $P$ from $PW_{S_1\cup S_2}^p$ to $PW_{S_1}^p$ is a contraction.

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