Fischer decomposition by inframonogenic functions
Malonek, Helmuth R. · Peña, Dixan Peña · Sommen, Frank
Original · EN
Let D denote the Dirac operator in the Euclidean space 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 DfD=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.
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