Abstract
In this paper we give a survey on some results concerning the theory of spherical harmonics and its interaction with representations of the spingroup Spin(m). This leads to the spherical monogenics as a refinement of the spherical harmonics. We also develop a scheme to construct solutions to partial differential equations with constant coefficients which are Spin(m)-invariant.
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© 1986 D. Reidel Publishing Company
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Delanghe, R., Sommen, F. (1986). Spingroups and Spherical Monogenics. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_11
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DOI: https://doi.org/10.1007/978-94-009-4728-3_11
Publisher Name: Springer, Dordrecht
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