期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2018
卷号：XV
期号：1
页码：617-690
DOI：10.30757/ALEA.v15-25
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：Around the 1960s a celebrated collection of papers emerged offeringa number of explicit identities for the class of isotropic Lévy stable processes inone and higher dimensions; these include, for example, the lauded works of Ray(1958); Widom (1961); Rogozin (1972) (in one dimension) and Blumenthal et al.(1961); Getoor (1966); Port (1969) (in higher dimension), see also more recentlyByczkowski et al. (2009); Luks (2013). Amongst other things, these results nicelyexemplify the use of standard Riesz potential theory on the unit open ball Bd :=fx 2 Rd : jxj < 1g, RdnBd and the sphere Sd1 := fx 2 Rd : jxj = 1g with the,then, modern theory of potential analysis for Markov processes.
