An interpolation theorem for slice-regular functions with application to very tame sets and slice Fatou-Bieberbach domains in \(\mathbb{H}^2\). Interpolation theorem and slice Fatou-Bieberbach domains in \(\mathbb{H}^2\)

DOI10.1007/s10231-022-01195-wOpenAlexW4214818119WikidataQ113904725 ScholiaQ113904725MaRDI QIDQ2082717

Fabio Vlacci, Jasna Prezelj

Publication date: 4 October 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-022-01195-w

zbMATH Keywords

quaternionsslice-regular functionsslice Fatou-Bieberbach domainvery tame sets

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Interpolation in approximation theory (41A05)

Cites Work

• Unnamed Item
• The Weierstrass factorization theorem for slice regular functions over the quaternions
• On Fatou-Bieberbach domains
• A new notion of tameness
• A new theory of regular functions of a quaternionic variable
• Regular Functions of a Quaternionic Variable
• Holomorphic Maps from C n to C n
• Divergence zero quaternionic vector fields and Hamming graphs
• On a class of automorphisms in H² which resemble the property of preserving volume

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