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On Λ-Ω-extendable distributions

Published online by Cambridge University Press:  24 October 2008

Peter Dierolf
Peter Dierolf
Affiliation:
FB IV – Mathematik der Universität Trier, D-5500 Trier, West Germany
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Abstract

Let Λ ⊂ Ω ⊂ ℝnbe open subsets. We construct a natural space of test functions on Λ such that the dual consists exactly of those distributions on Λ which can be extended to distributions on Ω. As an application of this representation we calculate the space of multiplication operators on as well as the space of absolutely regular extendable distributions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 135 - 142
Copyright
Copyright © Cambridge Philosophical Society 1986

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