Another proof that weak $n$-homogeneity implies weak $(n-1)$-homogeneity
نویسندگان
چکیده
منابع مشابه
Weak homogeneity in generalized function algebras
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.
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is similar to the proof of Theorem 2.4 ((rst direction), together with the second part of Lemma 4.3 that guarantees that D 1 (e) = D 1 (e f) D 1 (e g). Using the last two theorems, we get Let us now brieey discuss the case of computing general relations and not necessarily functions. The equality in Lemma 4.3 part (1), does not hold anymore. However, by FKN91] the two sides cannot be too far. A...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1975-0394608-5