Stable distributions and harmonic analysis on convex cones
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- 作者：Youri Davydov ; Ilya Molchanov ; Sergei Zuyev
- 刊名：Comptes Rendus Mathematique
- 出版年：2007
- 出版时间：1 March 2007
- 年：2007
- 卷：344
- 期：5
- 页码：321-326
- 全文大小：146 K
文摘
We consider α-stable random elements in a general convex cone and show how their main properties: sign and range of α, LePage representation and Lévy decomposition are related to the algebraic and metric properties of : distributivity laws, coincidence of the origin and the neutral elements, existence of a homogeneous norm, and separating family of semi-continuous characters. To cite this article: Y. Davydov et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).