English

Fatou's interpolation theorem implies the Rudin-Carleson theorem

Complex Variables 2015-10-07 v1

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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Cite

@article{arxiv.1510.01410,
  title  = {Fatou's interpolation theorem implies the Rudin-Carleson theorem},
  author = {Arthur A. Danielyan},
  journal= {arXiv preprint arXiv:1510.01410},
  year   = {2015}
}