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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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.609/ |
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| author | Danielyan, Arthur |
| author_facet | Danielyan, Arthur |
| author_sort | Danielyan, Arthur |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-734875c128be4a32a9967cd084b71e17 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-734875c128be4a32a9967cd084b71e172025-02-07T11:23:31ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G101147115310.5802/crmath.60910.5802/crmath.609The radial limits and boundary uniquenessDanielyan, Arthur0Department of Mathematics and Statistics, University of South Florida, Tampa, Florida 33620, USAThe 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.609/Radial limitsBoundary uniquenessFatou’s TheoremLusin’s theorem |
| spellingShingle | Danielyan, Arthur The radial limits and boundary uniqueness Comptes Rendus. Mathématique Radial limits Boundary uniqueness Fatou’s Theorem Lusin’s theorem |
| title | The radial limits and boundary uniqueness |
| title_full | The radial limits and boundary uniqueness |
| title_fullStr | The radial limits and boundary uniqueness |
| title_full_unstemmed | The radial limits and boundary uniqueness |
| title_short | The radial limits and boundary uniqueness |
| title_sort | radial limits and boundary uniqueness |
| topic | Radial limits Boundary uniqueness Fatou’s Theorem Lusin’s theorem |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.609/ |
| work_keys_str_mv | AT danielyanarthur theradiallimitsandboundaryuniqueness AT danielyanarthur radiallimitsandboundaryuniqueness |