A Theorem of Mensov on the Adjustment of Functions |
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Authors: | Korner T W |
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Institution: | DPMMS 16 Mill Lane, Cambridge twk{at}dpmms.cam.ac.uk |
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Abstract: | A new proof is given of a theorem of Men ov which states thata measurable function can be changed on a set of arbitrarilysmall measure to obtain a function with uniformly convergentFourier series. Other results of Men ov on the representationof functions by trigonometric series are obtained by using arelated result. |
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