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Type: Artigo de periódico
Title: Whitney's Extension Theorem For Generalized Functions
Author: Biagioni H.A.
Colombeau J.F.
Abstract: If X is a subset of Rn we define generalized functions on X as a direct generalization of C∞ functions on X in Whitney's sense and of generalized functions on X when X is open. Then we prove that, if X is closed, any generalized function on X may be extended as a generalized function on Rn, which is a Whitney's extension theorem for generalized functions. This result generalizes Borel's theorem for generalized functions already proved by the same authors. The proof is an adaptation of a classical proof. © 1986.
Rights: fechado
Identifier DOI: 10.1016/0022-247X(86)90109-5
Date Issue: 1986
Appears in Collections:Unicamp - Artigos e Outros Documentos

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