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Image measures and the so-called image measure catastrophe

In: Measure and Integration

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  • Heinz König

    (Universität des Saarlandes, Fachbereich Mathematik)

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.

Suggested Citation

  • Heinz König, 2012. "Image measures and the so-called image measure catastrophe," Springer Books, in: Measure and Integration, edition 127, pages 1-16, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0382-3_1
    DOI: 10.1007/978-3-0348-0382-3_1
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