F. and M. Riesz theorem
id:
f-and-m-riesz-theorem-286-8183393
title:
F. and M. Riesz theorem
text:
In mathematics, the F. and M. Riesz theorem is a result of the brothers Frigyes Riesz and Marcel Riesz, on analytic measures. It states that for a measure μ on the circle, any part of μ that is not absolutely continuous with respect to the Lebesgue measure dθ can be detected by means of Fourier coefficients. More precisely, it states that if the Fourier–Stieltjes coefficients of μ satisfy for all n < 0 , then μ is absolutely continuous with respect to dθ. The original statements are rather diffe
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original url:
https://en.wikipedia.org/wiki/F._and_M._Riesz_theorem
date created:
date modified:
2023-06-10T11:40:05Z
main entity:
{"identifier":"Q3527067","url":"https://www.wikidata.org/entity/Q3527067"}
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