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.
By:
Der-Chen Chang, Jingzhi Tie Imprint: De Gruyter Country of Publication: Germany Dimensions:
Height: 240mm,
Width: 170mm,
Weight: 587g ISBN:9783110642100 ISBN 10: 3110642107 Series:Advances in Analysis and Geometry Pages: 266 Publication Date:01 August 2022 Audience:
Professional and scholarly
,
Undergraduate
,
Undergraduate
Format:Hardback Publisher's Status: Active
Der-Chen Chang, Georgetown University, Washington, D.C., USA; Jingzhi Tie, University of Georgia, Georgia, USA.