Image measures and the so-called image measure catastrophe

Heinz König
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Heinz König: Universität des Saarlandes, Fachbereich Mathematik

A chapter in Measure and Integration, 2012, pp 1-16 from Springer

Abstract: Abstract The paper develops the formation of image measures on the basis of the recent monograph of the author 1997. The main theorem says that the structure of so-called inner extensions carries over from the initial measure to the image measure. One discloses the image measure catastrophe in the sense of Laurent Schwartz 1973 to be a lack of inner regularity on the part of the initial measure.

Keywords: image measure; image measure catastrophe; inner extensions of inner premeasures; Lusin measurable (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0382-3_1

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DOI: 10.1007/978-3-0348-0382-3_1

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