Fatou's interpolation theorem implies the Rudin-Carleson theorem

2015/10/06 by Arthur A. Danielyan, Danielyan, Arthur A.
Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1510.01410

openalex publication_date 2015/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to show that the Rudin-Carleson interpolation theorem is a direct corollary of Fatou's much older interpolation theorem (of 1906).

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