Elementary proof of the Rudin-Carleson and the F. and M. Riesz theorems-Reference-Cited by-同舟云学术

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

Published:1981 Issue:4 Volume:82 Page:599-602
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Doss Raouf

Abstract

A very elementary proof is given of the theorem that on a set of measure zero on T 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1981-082-04/S0002-9939-1981-0614885-5/S0002-9939-1981-0614885-5.pdf

Reference9 articles.

1. Representations of continuous functions;Carleson, Lennart;Math. Z.,1957

2. Pure and Applied Mathematics, Vol. 49;Douglas, Ronald G.,1972

3. Pure and Applied Mathematics, Vol. 38;Duren, Peter L.,1970

4. Prentice-Hall Series in Modern Analysis;Hoffman, Kenneth,1962

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