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The Sub-Laplacian Operators of Some Model Domains
Hardcover
Series: Advances in Analysis and Geometry, Book 7
CalculusGeneral MathematicsGeometry
ISBN13: 9783110642100
Publisher: De Gruyter
Published: Aug 1 2022
Pages: 266
Weight: 1.37
Height: 0.63 Width: 6.69 Depth: 9.61
Language: English
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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