Fischer decomposition by inframonogenic functions
-
Helmuth R. Malonek
hrmalon@ua.pt
-
Dixan Peña
dixanpena@ua.pt
-
Frank Sommen
fs@cage.ugent.be
Downloads
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.
Keywords
Most read articles by the same author(s)
- Fred Brackx, Hennie De Schepper, Frank Sommen, Liesbet Van de Voorde, Discrete Clifford analysis: an overview , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
Similar Articles
- Frank Hansen, Convex Matrix Functions , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Indrajit Lahiri, Nintu Mandal, On a result of Q. Han, S. Mori and K. Tohge concerning uniquesness of meromorphic functions. , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Wolfgang Rump, Non-Commuting Numbers and Functions , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Ahmed Ali Atash, Maisoon Ahmed Kulib, Extension of exton's hypergeometric function \(K_{16}\) , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- René Schott, G. Stacey Staples, Operator homology and cohomology in Clifford algebras , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Chia-chi Tung, On Semisubmedian Functions and Weak Plurisubharmonicity , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Goutam Haldar, Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- A.A. Martynyuk, Matrix Liapunov‘s Functions Method and Stability Analysis of Continuous Systems , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Amal Ghandouri, Hatem Mejjaoli, Slim Omri, On generalized Hardy spaces associated with singular partial differential operators , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Takahiro Sudo, K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups. , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
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.
Issue
Section
Articles
