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Zero-one laws for stable measures

Published:1974 Issue:2 Volume:45 Page:245-252
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dudley R. M.,Kanter Marek

Abstract

For any stable measure μ \mu on a vector space, every measurable linear subspace has measure 0 or 1.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-045-02/S0002-9939-1974-0370675-9/S0002-9939-1974-0370675-9.pdf

Reference5 articles.

1. Zero-one laws for Gaussian processes;Kallianpur, G.;Trans. Amer. Math. Soc.,1970

2. Sur le théorème du graphe fermé;Schwartz, Laurent;C. R. Acad. Sci. Paris S\'{e}r. A-B,1966

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1. Characterizations of stable laws via functional equations;Mathematische Nachrichten;2006-04

2. Measures on topological spaces;Journal of Mathematical Sciences;1998-09

3. Gaussian measures on linear spaces;Journal of Mathematical Sciences;1996-04

4. Zero-One Law for Semigroups of Measures on Groups;Stochastic Processes;1993

5. Some Observations on the Integrated Cauchy Functional Equation;Mathematische Nachrichten;1992

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