GreenΒ΄s functions on the Heisenberg grou
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Kumar, Ajay; Mishra, Mukund Madhav
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Article
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2010
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Oldenbourg Wissenschaftsverlag
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English
β 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