Clifford analysis on the sphere. (English) Zbl 0896.15015

Dietrich, Volker (ed.) et al., Clifford algebras and their application in mathematical physics. Proceedings of the 4th conference, Aachen, Germany, May 28–31, 1996. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 94, 201-215 (1998).
Summary: We give some basic integral formulas related to spherical monogenics of complex degree. These monogenics, locally defined on the sphere \(S^{m-1}\), are eigenfunctions of the \(\Gamma\)-operator corresponding to complex eigenvalues and generalise the classical spherical monogenics.
For the entire collection see [Zbl 0889.00021].


15A66 Clifford algebras, spinors