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The Sub-Laplacian Operators of Some Model Domains

Tie, Der-Chen Chang; Jingzhi
Digital bok / 2022 / Engelsk

Produktdetaljer

ISBN
9783110643176
Publisert
2022
Utgave
1. utgave
Utgiver
Vendor
De Gruyter
Språk
Product language
Engelsk
Format
Product format
Digital bok

Forfatter
Tie, Der-Chen Chang; Jingzhi

The Sub-Laplacian Operators of Some Model Domains

Tie, Der-Chen Chang; Jingzhi
Digital bok / 2022 / Engelsk
Tie, Der-Chen Chang; Jingzhi
Digital bok / 2022 / Engelsk
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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 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.
Les mer

Produktdetaljer

ISBN
9783110643176
Publisert
2022
Utgave
1. utgave
Utgiver
Vendor
De Gruyter
Språk
Product language
Engelsk
Format
Product format
Digital bok

Forfatter
Tie, Der-Chen Chang; Jingzhi

Relaterte produkter