Regularization of Hyperfunctions
Ricardo Estrada
Louisiana State University, Baton Rouge, United States
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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.
Cite this article
Ricardo Estrada, Regularization of Hyperfunctions. Z. Anal. Anwend. 25 (2006), no. 3, pp. 299–310
DOI 10.4171/ZAA/1290