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- W2402746067 abstract "By the Riesz Representation Theorem for locally compact Hausdorff spaces, for every positive linear functional I on K(X) there is a measure @m such that I(f)=@!fd@m, where K(X) is the set of continuous real functions with compact support on the locally compact Hausdorff space X. In this article we prove a uniformly computable version of this theorem for computably locally compact computable Hausdorff spaces X. We introduce a representation of the positive linear functionals I on K(X) and a representation of the Borel measures on X and prove that for every such functional I a measure @m can be computed and vice versa such that I(f)=@!fd@m." @default.
- W2402746067 created "2016-06-24" @default.
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- W2402746067 date "2008-03-28" @default.
- W2402746067 modified "2023-10-17" @default.
- W2402746067 title "Computable Riesz Representation for Locally Compact Hausdorff Spaces" @default.
- W2402746067 doi "https://doi.org/10.3217/jucs-014-06-0845" @default.
- W2402746067 hasPublicationYear "2008" @default.
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