Decomposition of the invariant Laplacian in the complex ball
Bull. Korean Math. Soc.
Published online 2018 Nov 09
E. G. Kwon
Andong National University
Abstract : We, in this note, decompose the invariant Laplacian of the unit complex ball of $\mathbb{C}^n$ by the radial part and tangential part as
$$ \widetilde{\Delta}= \widetilde{\Delta}_{rad}+\widetilde{\Delta}_{tan}.$$
We give several properties and interpretations involved with this decomposition.
Keywords : invariant Laplacian, tangential and radial decomposition
MSC numbers : 35J05; 31C05; 31C10
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