Wirtinger operators for functions of several quaternionic variables
type: Item
instance of: scholarly article
title: Wirtinger operators for functions of several quaternionic variables
author: Alessandro Perotti
published in: Complex Analysis and Operator Theory
publication date: 2025-01-08T00:00:00Z
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 7963403
zbMATH Keywords: Wirtinger operators
zbMATH Keywords: quaternions
zbMATH Keywords: slice-regular functions
zbMATH Keywords: Almansi decomposition
MaRDI profile type: Publication
cites work: Slice-quaternionic Hopf surfaces
cites work: Partial slice regularity and Fueter's theorem in several quaternionic variables
cites work: Almansi-type decomposition for slice regular functions of several quaternionic variables
cites work: Q3310867
cites work: Algebraic properties of the module of slice regular functions in several quaternionic variables
cites work: Slice monogenic functions
cites work: Extension theorem and representation formula in non-axially-symmetric domains for slice regular functions
cites work: A representation formula for slice regular functions over slice-cones in several variables
cites work: Slice quaternionic analysis in two variables
cites work: On compact affine quaternionic curves and surfaces
cites work: Geometric function theory over quaternionic slice domains
cites work: A local representation formula for quaternionic slice regular functions
cites work: Regular Functions of a Quaternionic Variable
cites work: A new approach to Cullen-regular functions of a quaternionic variable
cites work: A new theory of regular functions of a quaternionic variable
cites work: Regular functions on the space of Cayley numbers
cites work: Slice regular functions on real alternative algebras
cites work: Q5166996
cites work: Global differential equations for slice regular functions
cites work: Slice regular functions in several variables
cites work: The algebra of slice functions
cites work: An extension of slice regular functions in terms of fiber bundle theory
cites work: Slice Regularity and Harmonicity on Clifford Algebras
cites work: Almansi theorem and mean value formula for quaternionic slice-regular functions
cites work: Cauchy-Riemann operators and local slice analysis over real alternative algebras
cites work: Q3997820
cites work: Slice regular functions of several octonionic variables
cites work: On operators and elementary functions in Clifford analysis
cites work: Quaternionic and Clifford Analysis in Several Variables
cites work: Slice Hyperholomorphic Functions with Values in Some Real Algebras
DOI: 10.1007/S11785-024-01630-1
description: scientific article; zbMATH DE number 7963403