Strong Divergence of Reconstruction Procedures for the Paley-Wiener Space ${\mathcal{PW}}_{\pi }^1$ and the Hardy Space ${\mathcal{H}}^1$

Holger Boche, Brendan Farrell

Previous results on certain sampling series have left open if divergence only occurs for certain subsequences or, in fact, in the limit. Here we prove that divergence occurs in the…