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A singular convolution kernel without pseudo-periods

Published online by Cambridge University Press:  22 January 2016

Jesper Laub*
Affiliation:
Matematisk Institut, Universitetsparken 5, DK-2100 København ø, Denmark
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Let G be a locally compact abelian group and N a non-zero convolution kernel on G satisfying the domination principle. We define the cone of N-excessive measures E(N) to be the set of positive measures ξ for which N satisfies the relative domination principle with respect to ξ. For ξ ∈ E(N) and Ω ⊆ G open the reduced measure of ξ over Ω is defined as

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981