Poisson kernels of half-spaces in real hyperbolic spaces

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dc.creatorByczkowski, T.
dc.creatorGraczyk, P.
dc.creatorStos, A.
dc.date2005-03-17
dc.date.accessioned2026-07-07T05:18:06Z
dc.date.available2026-07-07T05:18:06Z
dc.descriptionWe provide an integral formula for the Poisson kernel of half-spaces for Brownian motion in real hyperbolic space $\H^n$. This enables us to find asymptotic properties of the kernel. Our starting point is the formula for its Fourier transform. When $n=3$, 4 or 6 we give an explicit formula for the Poisson kernel itself. In the general case we give various asymptotics and show convergence to the Poisson kernel of $\H^n$.
dc.identifierhttps://arxiv.org/abs/math/0503372
dc.identifierhttp://arxiv.org/abs/math/0503372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74543
dc.subjectProbability
dc.subject60J45; 60J65; 58J65
dc.titlePoisson kernels of half-spaces in real hyperbolic spaces
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