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A THEOREM OF MENšOV ON THE ADJUSTMENT OF FUNCTIONS

Published online by Cambridge University Press:  01 October 1999

T. W. KÖRNER
T. W. KÖRNER
Affiliation:
DPMMS, 16 Mill Lane, Cambridge; [email protected]
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Abstract

A new proof is given of a theorem of Menšov which states that a measurable function can be changed on a set of arbitrarily small measure to obtain a function with uniformly convergent Fourier series. Other results of Menšov on the representation of functions by trigonometric series are obtained by using a related result.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 2 , October 1999 , pp. 548 - 560
Copyright
The London Mathematical Society 1999

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