Fischer decomposition by inframonogenic functions

Let δx denote the Dirac operator in Rm. In this paper, we present a refinement of the biharmonic functions and at the same time an extension of the monogenic functions by considering the equation δxf δx = 0. The solutions of this "sandwich" equation, which we cal...

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Autores principales:	Malonek,Helmuth R, Peña Peña,Dixan, Sommen,Frank
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:	Inframonogenic functions Fischer decomposition
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200012
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spelling	oai:scielo:S0719-064620100002000122018-10-08Fischer decomposition by inframonogenic functionsMalonek,Helmuth RPeña Peña,DixanSommen,Frank Inframonogenic functions Fischer decomposition Let δx denote the Dirac operator in Rm. In this paper, we present a refinement of the biharmonic functions and at the same time an extension of the monogenic functions by considering the equation δxf δx = 0. The solutions of this "sandwich" equation, which we call inframonogenic functions, are used to obtain a new Fischer decomposition for homogeneous polynomials in Rm.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.2 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200012en10.4067/S0719-06462010000200012
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Inframonogenic functions Fischer decomposition
spellingShingle	Inframonogenic functions Fischer decomposition Malonek,Helmuth R Peña Peña,Dixan Sommen,Frank Fischer decomposition by inframonogenic functions
description	Let δx denote the Dirac operator in Rm. In this paper, we present a refinement of the biharmonic functions and at the same time an extension of the monogenic functions by considering the equation δxf δx = 0. The solutions of this "sandwich" equation, which we call inframonogenic functions, are used to obtain a new Fischer decomposition for homogeneous polynomials in Rm.
author	Malonek,Helmuth R Peña Peña,Dixan Sommen,Frank
author_facet	Malonek,Helmuth R Peña Peña,Dixan Sommen,Frank
author_sort	Malonek,Helmuth R
title	Fischer decomposition by inframonogenic functions
title_short	Fischer decomposition by inframonogenic functions
title_full	Fischer decomposition by inframonogenic functions
title_fullStr	Fischer decomposition by inframonogenic functions
title_full_unstemmed	Fischer decomposition by inframonogenic functions
title_sort	fischer decomposition by inframonogenic functions
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200012
work_keys_str_mv	AT malonekhelmuthr fischerdecompositionbyinframonogenicfunctions AT penapenadixan fischerdecompositionbyinframonogenicfunctions AT sommenfrank fischerdecompositionbyinframonogenicfunctions
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Fischer decomposition by inframonogenic functions

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