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A representation theorem for additive functionals

✍ Scribed by N. Friedman; M. Katz

Publisher: Springer
Year: 1966
Tongue: English
Weight: 437 KB
Volume: 21
Category: Article
ISSN: 0003-9527
DOI: 10.1007/bf00253048

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## Abstract For a weight function __ω__ and an open set __G__ in ℝ^__N__^ denote by ℰ(__ω__)(__G__) (resp. __E__~{__ω__ }~(__G__)) the __ω__ ‐ultradifferentiable functions of Beurling (resp. Roumieu) type on __G__. Using ideas of Hörmander it is shown that the functionals __u__ in ℰ′(__ω__)(__G__)