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Fischer decomposition by inframonogenic functions

(2010) CUBO (TEMUCO). 12(2). p.189-197
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Organization
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.
Keywords
Inframonogenic functions, Fischer decomposition

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Citation

Please use this url to cite or link to this publication:

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.
@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},
}