On Penrose integral formula and series expansion of \(k\)-regular functions on the quaternionic space \(\mathbb H^n\)
type: Item
instance of: scholarly article
title: On Penrose integral formula and series expansion of \(k\)-regular functions on the quaternionic space \(\mathbb H^n\)
zbMATH Open document ID: 1259.30028
author: Wei Wang
author: Qianqian Kang
published in: Journal of Geometry and Physics
publication date: 2013-02-21T00:00:00Z
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 32L25
Mathematics Subject Classification ID: 35N05
Mathematics Subject Classification ID: 32L10
zbMATH DE Number: 6138309
zbMATH Keywords: \(k\)-Cauchy-Fueter operator
zbMATH Keywords: Penrose integral formula
zbMATH Keywords: quaternionic \(k\)-regular functions
MaRDI profile type: Publication
full work available at URL: j.geomphys.2012.11.002
OpenAlex ID: W2050133751
DOI: 10.1016/J.GEOMPHYS.2012.11.002
Recommended article: The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
Recommended article: Q3463858
Recommended article: n-Regular functions in quaternionic analysis
Recommended article: On Cauchy integral theorem for quaternionic slice regular functions
Recommended article: Holomorphic functions and regular quaternionic functions on the hyperk\"ahler space H
Recommended article: A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions
Recommended article: Regular functions of several quaternionic variables and the Cauchy-Fueter complex
Recommended article: Quaternionic regular functions in the sense of Fueter and fundamental 2-forms on a 4-dimensional almost Kähler manifold
Recommended article: Quaternionic regularity via analytic functional calculus
Recommended article: Several integrals of quaternionic field on hyperbolic matrix space
description: scientific article; zbMATH DE number 6138309