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Martin boundary and integral representation for harmonic functions of symmetric stable processes. (English) Zbl 0954.60003

It is a well-known result of R. A. Hunt and R. L. Wheeden [Trans. Am. Math. Soc. 147, 507-527 (1970; Zbl 0193.39601)] that the (classical) Martin boundary can be identified with the Euclidean boundary. The authors extend this result to symmetric stable processes. The definition of harmonic function is probabilistic. Unlike the Brownian motion case (classical case) one has to distinguish between the whole process and the killed process. The paper is well written.

MSC:

60E07 Infinitely divisible distributions; stable distributions
31C25 Dirichlet forms

Citations:

Zbl 0193.39601
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References:

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