JournalszaaVol. 25 , No. 3DOI 10.4171/zaa/1290

Regularization of Hyperfunctions

  • Ricardo Estrada

    Louisiana State University, Baton Rouge, United States
Regularization of Hyperfunctions cover

Abstract

We show that there are no continuous regularization procedures for the extension of hyperfunctions. We also show that there is a continuous projection operator from the space of hyperfunctions with support in a given compact set onto the subspace of hyperfunctions with support on a given \textsl{closed} subset if and only if the subset is a countable intersection of sets that are closed and open.