The Sub-Laplacian Operators of Some Model Domains

1. Auflage 2022
ISBN: 978-3-11-064210-0
Verlag: De Gruyter

Buch, Englisch, Band 7, 252 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 587 g

Reihe: Advances in Analysis and Geometry

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.

Zielgruppe

Researchers and graduate students in Analysis and Geometry

Autoren/Hrsg.

Chang, Der-Chen

Tie, Jingzhi

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Geometrie Analytische Geometrie

Über Autor(innen)

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