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The Martin compactification associated with a second order strictly elliptic partial differential operator on a manifold $$M$$. (English) Zbl 0985.31003
Taylor, J. C. (ed.), Topics in probability and Lie groups: boundary theory. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 28, 153-202 (2001).
The general goal of the paper under review is to present a self-contained discussion on Martin’s theorem about integral representation of positive harmonic functions on a domain $$D$$ of $${\mathbb R}^n,$$ in the context of the theory of second order partial differential operators with Hölder continuous coefficients.
For the entire collection see [Zbl 0970.00015].

##### MSC:
 31C12 Potential theory on Riemannian manifolds and other spaces 31C35 Martin boundary theory 58J05 Elliptic equations on manifolds, general theory