The Sub-Laplacian Operators of Some Model Domains

Der-Chen Chang author Jingzhi Tie author

Format:Hardback

Publisher:De Gruyter

Published:1st Aug '22

Currently unavailable, and unfortunately no date known when it will be back

The Sub-Laplacian Operators of Some Model Domains cover

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.

ISBN: 9783110642100

Dimensions: unknown

Weight: 587g

266 pages