Title: The Sub-Laplacian Operators of Some Model Domains (Advances in Analysis and Geometry, 7)
Publisher: Walter de Gruyter
Publication Date: 2022
Language: English
ISBN 10: 3110642107
ISBN 13: 9783110642100
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

About the Author

Der-Chen Chang, Georgetown University, Washington, D.C., USA; Jingzhi Tie, University of Georgia, Georgia, USA.

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