Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting

DOI10.1007/s11856-018-1696-yzbMath1405.30050OpenAlexW2801213306WikidataQ129835569 ScholiaQ129835569MaRDI QIDQ1670346

Daniel Alpay, Daniele C. Struppa, Maria Elena Luna-Elizarrarás, Michael V. Shapiro

Publication date: 5 September 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-018-1696-y

zbMATH Keywords

Gleason problemsplit-quaternionFueter variables

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (9)

Factorization of Perplex Integers ⋮ A general setting for functions of Fueter variables: differentiability, rational functions, Fock module and related topics ⋮ Dynamical systems of operators induced by scaled hypercomplex rings ⋮ Certain invertible operator-block matrices induced by \(C^*\)-algebras and scaled hypercomplex numbers ⋮ Regular functions on the scaled hypercomplex numbers ⋮ The Gleason's problem on normal weight general function spaces in the unit ball of \(\mathbb{C}^n\) ⋮ Operators induced by certain hypercomplex systems ⋮ On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis ⋮ Krein reproducing kernel modules in Clifford analysis

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