Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/98406
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.
Editor: 
Rights: fechado
Identifier DOI: 10.1016/0022-247X(86)90109-5
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-0037484952&partnerID=40&md5=2c05500ae304ef9e9a2eebbc5aefc8bf
Date Issue: 1986
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File SizeFormat 
2-s2.0-0037484952.pdf443.44 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.