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.

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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.

149.99 In Stock
The Sub-Laplacian Operators of Some Model Domains

The Sub-Laplacian Operators of Some Model Domains

by Der-Chen Chang, Jingzhi Tie
The Sub-Laplacian Operators of Some Model Domains

The Sub-Laplacian Operators of Some Model Domains

by Der-Chen Chang, Jingzhi Tie

Hardcover

$149.99 
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Overview

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

ISBN-13: 9783110642100
Publisher: De Gruyter
Publication date: 08/01/2022
Series: Advances in Analysis and Geometry , #7
Pages: 266
Product dimensions: 6.69(w) x 9.45(h) x (d)
Age Range: 18 Years

About the Author

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

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