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Weak homogeneity in generalized function algebras

✍ Scribed by Hans Vernaeve

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 206 KB
Volume: 283
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200810007

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✦ Synopsis

Abstract

In this paper, weakly homogeneous generalized functions in the special Colombeau algebras are determined up to equality in the sense of generalized distributions. This yields characterizations that are formally similar to distribution theory. Further, we give several characterizations of equality in the sense of generalized distributions in these algebras (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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