Decomposition of the invariant Laplacian in the complex ball
Bull. Korean Math. Soc. 2019 Vol. 56, No. 3, 675-680
Published online November 9, 2018
Printed May 31, 2019
Ern Gun 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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