Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DECOMPOSITION OF THE INVARIANT LAPLACIAN IN THE COMPLEX BALL

  • Kwon, Ern Gun (Department of Mathematics Education Andong National University)
  • Received : 2018.05.18
  • Accepted : 2018.08.22
  • Published : 2019.05.31
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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 ${\tilde{\Delta}}={\tilde{\Delta}}_{rad}+{\tilde{\Delta}}_{tan}$. We give several properties and interpretations involved with this decomposition.

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References

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