Regularization of Hyperfunctions | Zendy

Ricardo Estrada | Zendy

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Regularization of Hyperfunctions

Author(s) -

Ricardo Estrada

Publication year - 2006

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1290

Subject(s) - mathematics , subspace topology , countable set , pure mathematics , regularization (linguistics) , extension (predicate logic) , projection (relational algebra) , operator (biology) , discrete mathematics , mathematical analysis , algorithm , computer science , artificial intelligence , biochemistry , chemistry , repressor , transcription factor , gene , programming language

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 closed subset if and only if the subset is a countable intersection of sets that are closed and open.

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