The Sub Laplacian Operators Of Some Model Domains
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The Sub-Laplacian Operators of Some Model Domains
Author: Der-Chen Chang
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2022-08-01
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.
Introduction to Potential Theory
Author: Hitoshi Tanaka
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2024-12-30
This monograph is devoted to harmonic analysis and potential theory. The authors study these essentials carefully and present recent researches based on the papers including by authors in an accessible manner for graduate students and researchers in pure and applied analysis.
Potentials and Partial Differential Equations
Author: Suzanne Lenhart
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2023-05-22
This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.