Local Properties of Distributions

  • Robert D. Richtmyer
Part of the Texts and Monographs in Physics book series (TMP)


Although a distribution does not have a definite value at a specified value x of its argument, one can discuss its properties in any arbitrarily small neighborhood of x. Such local properties are discussed in this chapter.


Topology of open and closed sets in Euclidean space coverings Bolzano-Weierstrass and Heine-Borei theorems shrinkage principle partitions of unity comparison of distributions in an arbitrary open set piecing-together principle support of a distribution derivative as a local property 


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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • Robert D. Richtmyer
    • 1
  1. 1.Department of Physics and AstrophysicsUniversity of ColoradoBoulderUSA

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