The Sub-Laplacian Operators of Some Model Domains

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.

Product details

• Authors: Der-Chen Chang, Jingzhi Tie
• Publisher: De Gruyter
• Languages: English, German
• Product format: Hardback
• Released: 01.01.2022
• EAN: 9783110642100
• ISBN: 978-3-11-064210-0
• No. of pages: 252
• Dimensions: 173 mm x 19 mm x 247 mm
• Weight: 587 g
• Illustrations: 7 b/w ill.
• Series: Advances in Analysis and Geometry
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis