Download or read book The Sub-Laplacian Operators of Some Model Domains written by Der-Chen Chang and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-08-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.