Image measures and the so-called image measure catastrophe

  • Heinz König


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.


image measure image measure catastrophe inner extensions of inner premeasures Lusin measurable 


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    Schwartz, L.: Radon Measures on arbitrary Topological Spaces and Cylindrical Measures, Oxford Univ. Press, 1973.zbMATHGoogle Scholar

Copyright information

© Springer Basel 2012

Authors and Affiliations

  • Heinz König
    • 1
  1. 1.Fachbereich MathematikUniversität des SaarlandesSaarbrückenGermany

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