Titlebook: Harmonic Analysis and Discrete Potential Theory; Massimo A. Picardello Book 1992 Springer Science+Business Media New York 1992 Maxima.Pois

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Friction

,Compactifications Determined by a Polyhedral Cone Decomposition of ℝ,,pactifications. The second is related to Karpelevič’s compactification of a symmetric space of noncompact type. For such spaces, the closure of a maximal flat subspace in a Martin compactification coincides with one of the compactifications given by the decomposition into Weyl chambers, the bottom o

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Potential at Infinity on Symmetric Spaces and Martin Boundary,ification 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 certai

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Boundary Representations of the Free Group, I,of Г with respect to ., denoted by ., has Г as its vertex set, and has an edge between each pair of vertices {.} for x ∈ Г and . ∈ .. The left action of Г on itself clearly preserves the graph structure. It is well known that τ is an infinite tree and is homogeneous, meaning that each vertex lies on

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Boundary Representations of the Free Group, II,us paper in these Proceedings, to which the reader is referred for unexplained terminology and notation. These results are a part of study, carried on together with T. Steger, whose final goal is an explicit description of ..

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Probabilistic Methods for Ultracontractivity,hods that . is ultracontractive. That is, it maps (for .>0) ..(.) to .., whenever the function . satisfies a suitable growth condition at infinity, which essentially amounts (for instance in dimension .=1) to integrability of 1/. at infinity. This is a survey of results obtained by O. Kavian, G. Ker