Fischer decomposition by inframonogenic functions
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Helmuth R. Malonek
hrmalon@ua.pt
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Dixan Peña
dixanpena@ua.pt
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Frank Sommen
fs@cage.ugent.be
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DOI:
https://doi.org/10.4067/S0719-06462010000200012Abstract
Let ∂x denote the Dirac operator in â„m. 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 ∂xf∂x = 0. The solutions of this “sandwich” equation, which we call inframonogenic functions, are used to obtain a new Fischer decomposition for homogeneous polynomials in â„m.
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Published
2010-06-01
How to Cite
[1]
H. R. Malonek, D. Peña, and F. Sommen, “Fischer decomposition by inframonogenic functions”, CUBO, vol. 12, no. 2, pp. 189–197, Jun. 2010.
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