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.
|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|