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Weak homogeneity in generalized function algebras
Author(s) -
Vernaeve Hans
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810007
Subject(s) - mathematics , homogeneity (statistics) , generalized function , homogeneous , pure mathematics , homogeneous function , distribution (mathematics) , function (biology) , algebra over a field , mathematical analysis , combinatorics , statistics , evolutionary biology , biology
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)