Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 121-126 (2007).

Summary: We adapt

*S. Axler* and

*W. Ramey*’s method [Proc. Am. Math. Soc. 123, No. 12, 3765–3773 (1995;

Zbl 0848.31002)] of constructing the harmonic part of a homogeneous polynomial to the Fischer decomposition associated to Dirac operators acting on polynomial spinors. The result yields a constructive solution to a Dirichlet-like problem with polynomial boundary data.

##### MSC:

15A66 | Clifford algebras, spinors |

31B05 | Harmonic, subharmonic, superharmonic functions (higher-dimensional) |

31B20 | Boundary value and inverse problems (higher-dimensional potential theory) |

81R25 | Spinor and twistor methods in quantum theory |