Abstract. In this paper we prove the Bohr Theorem for slice regular functions. Following the historical path that led to the proof of the classical Bohr Theorem, we also extend the Borel-Carathéodory Theorem to the new setting.
The Bohr Theorem for slice regular functions / Della Rocchetta, Chiara; Gentili, Graziano; Sarfatti, Giulia. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 285 (17-18):(2012), pp. 2093-2105. [10.1002/mana.201100232]
The Bohr Theorem for slice regular functions
GENTILI, GRAZIANO;SARFATTI, GIULIA
2012
Abstract
Abstract. In this paper we prove the Bohr Theorem for slice regular functions. Following the historical path that led to the proof of the classical Bohr Theorem, we also extend the Borel-Carathéodory Theorem to the new setting.
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