The radial limits and boundary uniqueness

The radial limits and boundary uniqueness

The paper sheds a new light on the fundamental theorems of complex analysis due to P. Fatou, F. and M. Riesz, N. N. Lusin, I. I. Privalov, and A. Beurling. Only classical tools available at the times of Fatou are used. The proofs are very simple and in some cases – almost trivial.

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Bibliographic Details
Main Author: Danielyan, Arthur
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
Series:Comptes Rendus. Mathématique
Subjects:
Radial limits
Boundary uniqueness
Fatou’s Theorem
Lusin’s theorem
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.609/
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Summary:The paper sheds a new light on the fundamental theorems of complex analysis due to P. Fatou, F. and M. Riesz, N. N. Lusin, I. I. Privalov, and A. Beurling. Only classical tools available at the times of Fatou are used. The proofs are very simple and in some cases – almost trivial.
ISSN:1778-3569

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