Boundary values of continuous analytic functions

Rudin, Walter

doi:10.1090/S0002-9939-1956-0081948-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Boundary values of continuous analytic functions
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by Walter Rudin

Proc. Amer. Math. Soc. 7 (1956), 808-811

DOI: https://doi.org/10.1090/S0002-9939-1956-0081948-0

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References

Arne Beurling, Ensembles exceptionnels, Acta Math. 72 (1940), 1–13 (French). MR 1370, DOI 10.1007/BF02546325
Lennart Carleson, Sets of uniqueness for functions regular in the unit circle, Acta Math. 87 (1952), 325–345. MR 50011, DOI 10.1007/BF02392289
P. Fatou, Séries trigonométriques et séries de Taylor, Acta Math. 30 (1906), no. 1, 335–400 (French). MR 1555035, DOI 10.1007/BF02418579

Über die Randwerte einer analytischen Funktion

Walter Rudin, Analyticity, and the maximum modulus principle, Duke Math. J. 20 (1953), 449–457. MR 56076