Holomorphic functions on the lie ball and their monogenic counterparts
Abstract
The Cauchy integral formula in Clifford analysis allows us to associate a holomorphic function f:Ln on the Lie ball Ln in n with its monogenic counterpart f:B1(0) n+1 via the formula f(z) = ∫SnG(z) n()f()\,dμ(), z∈ Ln. The inverse map f f is constructed here using the Cauchy-Hua formula for the Lie ball following the work of M. Morimoto Mori2.
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