Publication
Title
The monogenic Cauchy-Kovalevskaya extension in two vector variables
Author
Abstract
 The Cauchy-Kovalevskaya extension for polynomials in several variables is a crucial result in Clifford analysis which describes theoretically how to construct simplicial monogenics in m dimensions starting from certain polynomial spaces in m - 1 dimensions, hereby using the so-called branching rules. In [13] it was shown that the Cauchy-Kovalevskaya extension map is an isomorphism of the kernel of the wedge operator onto the space of spherical monogenics in two variables. The aim of this paper is to show that this extension maps simplicial polynomials of the kernel of the wedge operator just onto the simplicial monogenics.
Language
English
Source (journal)
Advances in applied Clifford algebras. - México
Publication
México : 2018
ISSN
0188-7009
Volume/pages
28 :1 (2018) , 16 p.
Article Reference
UNSP 24
ISI
000427260400021
Medium
E-only publicatie
Full text (Publisher's DOI)
UAntwerpen
 Faculty/Department Research group Publication type Subject Affiliation Publications with a UAntwerp address