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The Sub-Laplacian Operators of Some Model Domains

Der-Chen Chang Jingzhi Tie

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Hardback

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English
De Gruyter
01 August 2022
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:   ,
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:  
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.

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