
- 266 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
The Sub-Laplacian Operators of Some Model Domains
About this book
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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Yes, you can access The Sub-Laplacian Operators of Some Model Domains by Der-Chen Chang,Jingzhi Tie in PDF and/or ePUB format, as well as other popular books in Mathematics & Analytic Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Title Page
- Copyright
- Contents
- Preface
- 1âFourier analysis and Laplace operators on ân
- 2âThe model domain, the sub-Laplacian operator and CauchyâSzegö kernels
- 3âThe fundamental solution for the operator Îλ: k=1
- 4âFundamental solution for the operator Îλ: k=2 and n=1
- 5âFundamental solution for the operator Î0: k=2
- 6âGreenâs function of the operator Îλ for general n and k
- 7âA geometric formula for the fundamental solution
- Subject Index