Potential at Infinity on Symmetric Spaces and Martin Boundary

Martine Babillot
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Martine Babillot: Université Paris 6, Laboratoire de Probabilités

A chapter in Harmonic Analysis and Discrete Potential Theory, 1992, pp 23-46 from Springer

Abstract: Abstract For simply connected Riemannian manifolds with negatively pinched curvature, the Martin compactification has recently been identified with the compactification by the sphere at infinity [A-S], [Anc]. Such a general result does not hold in general when the curvature is allowed to vanish, and even for the most computable case of riemannian symmetric space of the non compact type with real rank ≥ 2, the topology of the Martin boundary is to a certain extent not well understood.

Keywords: Harmonic Function; Symmetric Space; Solvable Group; Convolution Operator; Weyl Chamber (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-1-4899-2323-3_3

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