Elementary proof of the Rudin-Carleson and the F. and M. Riesz theorems

Doss, Raouf

doi:10.1090/S0002-9939-1981-0614885-5

Elementary proof of the Rudin-Carleson and the F. and M. Riesz theorems
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Proc. Amer. Math. Soc. 82 (1981), 599-602 Request permission

Abstract:

A very elementary proof is given of the theorem that on a set of measure zero on $T$, any continuous function is equal to a continuous function of analytic type. The same elementary method proves that a measure of analytic type is absolutely continuous.

References

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Über die Randwerte einer analytischen Funktion

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