Andrzej Stos (Wroclaw University of Technology and MAPMO Orleans)
Poisson kernel in hyperbolic space
Abstract.
This is joint work with T. Byczkowski and P. Graczyk. Our starting point is the formula for the Fourier transform of the poisson kernel of half-space in the (real) hyperbolic space. We investigate asymptotical behaviour of the kernel itself. We give a description of the general formula for the kernel in even dimensions. In some particular cases we give closed expressions.

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