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A representation theorem for certain nonlinear functionals

✍ Scribed by A. D. Martin; V. J. Mizel

Publisher
Springer
Year
1964
Tongue
English
Weight
570 KB
Volume
15
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES

A support theorem for quasianalytic func
A support theorem for quasianalytic functionals
✍ Tobias Heinrich; Reinhold Meise πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 306 KB

## Abstract For a weight function __Ο‰__ and an open set __G__ in ℝ^__N__^ denote by β„°(__Ο‰__)(__G__) (resp. __E__~{__Ο‰__ }~(__G__)) the __Ο‰__ ‐ultradifferentiable functions of Beurling (resp. Roumieu) type on __G__. Using ideas of HΓΆrmander it is shown that the functionals __u__ in β„°β€²(__Ο‰__)(__G__)