Arakelian's approximation theorem of Runge type in the hypercomplex setting

DOI10.1016/j.indag.2014.11.002zbMath1311.30032OpenAlexW2039670821MaRDI QIDQ2017790

Irene Sabadini, Sorin Gheorghe Gal

Publication date: 23 March 2015

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.11.002

zbMATH Keywords

Runge approximation theoremArakelian approximation theoremArakelian set in quaternionic settingentire slice hyperholomorphic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (3)

Overconvergence of Chebyshev and Legendre expansions in quaternionic ellipsoids ⋮ On a Runge theorem over \({\mathbb{R}}_3\) ⋮ On Runge pairs and topology of axially symmetric domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• The Runge theorem for slice hyperholomorphic functions
• Approximation by polynomials on quaternionic compact sets
• Arakelian's Approximation Theorem

This page was built for publication: Arakelian's approximation theorem of Runge type in the hypercomplex setting