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On the global operator and Fueter mapping theorem for slice polyanalytic functions by Alpay, Daniel; Diki, Kamal; Sabadini, Irene is a scholarly article available to read on EtoBox.

What is On the global operator and Fueter mapping theorem for slice polyanalytic functions about?

In this paper, we prove that slice polyanalytic functions on quaternions can be considered as solutions of a power of some special global operator with nonconstant coefficients as it happens in the case of slice hyperholomorphic functions. We investigate also an extension version of the Fueter mapping theorem in this polyanalytic setting. In particular, we show that under axially symmetric conditions it is always possible to construct Fueter regular and poly-Fueter regular functions through slice polyanalytic ones using what we call the poly-Fueter mappings. We study also some integral representations of these results on the quaternionic unit ball.

Author

Alpay, Daniel; Diki, Kamal; Sabadini, Irene

Published

2020

Language

EN