
Analysis on Manifolds with Singularities
Der-Chen Chang, Bert-Wolfgang Schulze
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by Der-Chen Chang, Jingzhi Tie
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The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive.
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