Elementary proof of the Rudin-Carleson and the F. and M. Riesz theorems
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- by Raouf Doss PDF
- 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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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 599-602
- MSC: Primary 42A99
- DOI: https://doi.org/10.1090/S0002-9939-1981-0614885-5
- MathSciNet review: 614885