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(2016)COMPLEX ANALYSIS AND OPERATOR THEORY.10(2).p.251-265 Mark abstract In this paper we consider the solutions of the equation , where is the so called modifier Dirac operator acting on functions defined in the upper half-space and taking values in the Clifford algebra. We look for solutions where the first variable is invariant under rotations. A special type of solution is generated by the so called spherical monogenic functions. These solutions may be characterize by a Vekua-type system and this system may be solved using Bessel functions. We will see that the solution of the equation in this case will be a product of Bessel functions.

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Author: Sirkka-Liisa Eriksson, Heikki Orelma and Franciscus Sommen



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