Beurling-Lax type theorems in the complex and quaternionic setting: the half-space case

Daniel Alpay; Irene Sabadini

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arXiv · 1509.06100

Beurling-Lax type theorems in the complex and quaternionic setting: the half-space case

Daniel Alpay·Irene Sabadini

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Abstract

We give a generalization of the Beurling-Lax theorem both in the complex and quaternionic settings. We consider in the first case functions meromorphic in the right complex half-plane, and functions slice hypermeromorphic in the right quaternionic half-space in the second case. In both settings we also discuss a unified framework, which includes both the disk and the half-plane for the complex case and the open unit ball and the half-space in the quaternionic setting.

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Daniel Alpay, Irene Sabadini. 2015-09-21. Beurling-Lax type theorems in the complex and quaternionic setting: the half-space case. https://arxiv.org/abs/1509.06100

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