The sub-Laplacian operators of some model domains
著者
書誌事項
The sub-Laplacian operators of some model domains
（Advances in analysis and geometry / editor in chief Jie Xiao, v. 7）
De Gruyter, c2022
- :hbk.
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注記
Includes bibliographical references (p.[245]-247) and index
内容説明・目次
内容説明
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. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker's equations.
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