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A quantitative version of Catlin-D’Angelo–Quillen theorem

✍ Scribed by Alexis Drouot, Maciej Zworski


Book ID
118303225
Publisher
SP Birkhäuser Verlag Basel
Year
2012
Tongue
English
Weight
272 KB
Volume
3
Category
Article
ISSN
1664-2368

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A theorem due to de Bruijn and Post states that if a real valued function f defined on [0, 1] is not Riemann-integrable, then there exists a uniformly distributed sequence {x i } such that the averages 1 n n i=1 f (x i ) do not admit a limit. In this paper we will prove a quantitative version of thi