An extension theorem for regular functions of two quaternionic variables

Luca Baracco; Martino Fassina; Stefano Pinton

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arXiv · 1810.08995

An extension theorem for regular functions of two quaternionic variables

Luca Baracco·Martino Fassina·Stefano Pinton

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Abstract

For functions of two quaternionic variables that are regular in the sense of Fueter, we establish a result similar in spirit to the Hanges and Tr\`eves theorem. Namely, we show that a ball contained in the boundary of a domain is a propagator of regular extendability across the boundary.

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Luca Baracco, Martino Fassina, Stefano Pinton. 2018-10-21. An extension theorem for regular functions of two quaternionic variables. https://arxiv.org/abs/1810.08995

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