Measure-preserving maps
Stone, A. H.
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Displaying similar documents to “A note on measurability of trajectories of a stochastic process”
Measure-preserving maps
Product Pre-Measure
Noboru Endou (2016)
Formalized Mathematics
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In this article we formalize in Mizar [5] product pre-measure on product sets of measurable sets. Although there are some approaches to construct product measure [22], [6], [9], [21], [25], we start it from σ-measure because existence of σ-measure on any semialgebras has been proved in [15]. In this approach, we use some theorems for integrals.
On functions whose graph is of linear measure 0 on sets of measure 0
James Foran (1977)
Fundamenta Mathematicae
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Fubini’s Theorem on Measure
Noboru Endou (2017)
Formalized Mathematics
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The purpose of this article is to show Fubini’s theorem on measure [16], [4], [7], [15], [18]. Some theorems have the possibility of slight generalization, but we have priority to avoid the complexity of the description. First of all, for the product measure constructed in [14], we show some theorems. Then we introduce the section which plays an important role in Fubini’s theorem, and prove the relevant proposition. Finally we show Fubini’s theorem on measure.
On the generalized continuity of the semivariation in locally convex spaces
Ján Haluška (1991)
Acta Universitatis Carolinae. Mathematica et Physica
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