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Fischer decomposition by inframonogenic functions

Helmuth Malonek, Dixan Peña Peña UGent and Franciscus Sommen UGent (2010) CUBO (TEMUCO). 12(2). p.189-197
abstract
Let ∂x 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 ∂x f ∂x = 0. The solutions of this “sandwich” equation, which we call inframonogenic functions, are used to obtain a new Fischer de- composition for homogeneous polynomials in Rm.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Inframonogenic functions, Fischer decomposition
journal title
CUBO (TEMUCO)
Cubo (Temuco)
volume
12
issue
2
pages
189 - 197
ISSN
0716-7776
language
English
UGent publication?
yes
classification
A2
copyright statement
I have transferred the copyright for this publication to the publisher
id
1209550
handle
http://hdl.handle.net/1854/LU-1209550
alternative location
http://arxiv.org/PS_cache/arxiv/pdf/1012/1012.4994v1.pdf
date created
2011-04-16 09:58:45
date last changed
2016-12-19 15:45:12
@article{1209550,
  abstract     = {Let \ensuremath{\partial}x 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 \ensuremath{\partial}x f \ensuremath{\partial}x = 0. The solutions of this {\textquotedblleft}sandwich{\textquotedblright} equation, which we call inframonogenic functions, are used to obtain a new Fischer de-
composition for homogeneous polynomials in Rm.},
  author       = {Malonek, Helmuth and Pe{\~n}a Pe{\~n}a, Dixan and Sommen, Franciscus},
  issn         = {0716-7776},
  journal      = {CUBO (TEMUCO)},
  keyword      = {Inframonogenic functions,Fischer decomposition},
  language     = {eng},
  number       = {2},
  pages        = {189--197},
  title        = {Fischer decomposition by inframonogenic functions},
  url          = {http://arxiv.org/PS\_cache/arxiv/pdf/1012/1012.4994v1.pdf},
  volume       = {12},
  year         = {2010},
}

Chicago
Malonek, Helmuth, Dixan Peña Peña, and Franciscus Sommen. 2010. “Fischer Decomposition by Inframonogenic Functions.” Cubo (temuco) 12 (2): 189–197.
APA
Malonek, H., Peña Peña, D., & Sommen, F. (2010). Fischer decomposition by inframonogenic functions. CUBO (TEMUCO), 12(2), 189–197.
Vancouver
1.
Malonek H, Peña Peña D, Sommen F. Fischer decomposition by inframonogenic functions. CUBO (TEMUCO). 2010;12(2):189–97.
MLA
Malonek, Helmuth, Dixan Peña Peña, and Franciscus Sommen. “Fischer Decomposition by Inframonogenic Functions.” CUBO (TEMUCO) 12.2 (2010): 189–197. Print.