Dales, H.G. and Hayman, W. K. (1981) *Esterlè's proof of the tauberian theorem for Beurling algebras.* Annales de L'Institut Fourier, 31 (4). pp. 141-150. ISSN 1777-5310

Official URL: http://dx.doi.org/10.5802/aif.852

## Abstract

Recently in this Journal J. Esterlé gave a new proof of the Wiener Tauberian theorem for $L^1({\bf R})$ using the Ahlfors-Heins theorem for bounded analytic functions on a half-plane. We here use essentially the same method to prove the analogous result for Beurling algebras $L^1_\varphi ({\bf R})$. Our estimates need a theorem of Hayman and Korenblum.

Item Type: | Article |
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Journal or Publication Title: | Annales de L'Institut Fourier |

Subjects: | |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 67662 |

Deposited By: | ep_importer_pure |

Deposited On: | 22 Nov 2013 10:32 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 16 Oct 2017 00:06 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/67662 |

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