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 extens...

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Bibliographische Detailangaben
Hauptverfasser: Chang, Der-Chen (VerfasserIn), Tie, Jingzhi 1964- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Berlin ; Boston De Gruyter [2022]
Schriftenreihe:Advances in analysis and geometry volume 7
Online-Zugang:DE-1043
DE-1046
DE-858
DE-898
DE-859
DE-860
DE-91
DE-706
DE-739
Volltext
Zusammenfassung: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.
Beschreibung:1 Online-Ressource (XIV, 250 Seiten) Diagramme
ISBN:9783110642995
9783110643176
DOI:10.1515/9783110642995

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