Green´s functions on the Heisenberg group

✍ Scribed by Kumar, Ajay; Mishra, Mukund Madhav

• Book ID: 119949126
• Publisher: Oldenbourg Wissenschaftsverlag
• Year: 2010
• Tongue: English
• Weight: 85 KB
• Volume: 30
• Category: Article
• ISSN: 0174-4747
• DOI: 10.1524/anly.2010.1034

✦ Synopsis

Explicit expressions for the Green's function and Poisson kernel for quarter space and octants in the Heisenberg group H 1 are obtained for circular boundary data. Using Poisson kernel, inhomogeneous Dirichlet problem is discussed on H 1 . Explicit Green's function for the powers of Laplacian in case of Korányi ball is also given.