Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.

Ewa Damek; Andrzej Hulanicki; Roman Urban

Displaying similar documents to “Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.”

Fundamental solutions of differential operators on homogeneous manifolds of negative curvature and related Riesz transforms

Ewa Damek (1997)

Colloquium Mathematicae

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Estimates for the Poisson kernels and their derivatives on rank one NA groups

Ewa Damek, Andrzej Hulanicki, Jacek Zienkiewicz (1997)

Studia Mathematica

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For rank one solvable Lie groups of the type NA estimates for the Poisson kernels and their derivatives are obtained. The results give estimates on the Poisson kernel and its derivatives in a natural parametrization of the Poisson boundary (minus one point) of a general homogeneous, simply connected manifold of negative curvature.