Which Fueter-regular functions are holomorphic?

DOI10.1007/S12220-024-01851-YMaRDI QIDQ6656080

Caterina Stoppato, Alessandro Perotti

Publication date: 2 January 2025

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

functions of a quaternionic variableFueter-regular functionsorthogonal almost-complex structures

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

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• The algebraic structure of quaternionic analysis
• Every biregular function is a biholomorphic map
• Regular functions of several quaternionic variables
• Quaternionic maps between hyper-Kähler manifolds.
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Über einen Hartogs'schen Satz.
• Über die analytische Darstellung der regulären Funktionen einer Quaternionenvariablen
• HARMONIC MORPHISMS AND HERMITIAN STRUCTURES ON EINSTEIN 4-MANIFOLDS
• Quaternionic analysis
• Regular and biregular functions in the sense of Fueter - some problems

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