Martin boundaries and integral representations of positive functions which are harmonic in a bounded domain D with respect to Brownian motion are well understood. Unlike the Brownian case, there are two different kinds of harmonicity with respect to a discontinuous symmetric stable process. One kind
β¦ LIBER β¦
On the spectral representation of symmetric stable processes
β Scribed by Clyde D Hardin Jr.
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 925 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0047-259X
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## Abstract Let __X~t~__ be a symmetric stable process on __d__βdimensional Euclidean space \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}^d$\end{document}. Let __F__(__x__, __y__) be a symmetric positive bounded function on \documentclass{article}\usepac