Stieltjes transformation

id: stieltjes-transformation-312-5922127
title: Stieltjes transformation
text: In mathematics, the Stieltjes transformation Sρ(z) of a measure of density ρ on a real interval I is the function of the complex variable z defined outside I by the formula Under certain conditions we can reconstitute the density function ρ starting from its Stieltjes transformation thanks to the inverse formula of Stieltjes-Perron. For example, if the density ρ is continuous throughout I, one will have inside this interval
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original url: https://en.wikipedia.org/wiki/Stieltjes_transformation
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date modified: 2022-01-17T14:47:00Z
main entity: {"identifier":"Q3537578","url":"https://www.wikidata.org/entity/Q3537578"}
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