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Green functions and related boundary value problems on the Heisenberg group

✍ Scribed by Kumar, Ajay; Mishra, Mukund Madhav


Book ID
119948179
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
140 KB
Volume
58
Category
Article
ISSN
1747-6933

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GreenΒ΄s functions on the Heisenberg grou
✍ Kumar, Ajay; Mishra, Mukund Madhav πŸ“‚ Article πŸ“… 2010 πŸ› Oldenbourg Wissenschaftsverlag 🌐 English βš– 85 KB

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 cas