Local Properties of Distributions
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.
KeywordsTopology 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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