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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 9, Fasc. 1,
pages 125 - 131
 

ADMISSIBLE TRANSLATES FOR SUBGAUSSIAN MEASURES

Tomasz Żak

Abstract: Zinn [6] asks whether it is true that every stable measure with the spectral measure vanishing on finite-dimensional sets has no admissible translates. It turns out that the answer is ”no”. Precisely, the author shows that the distribution of XV ~ h is a measure which is stable, has non-trivial admissible translates and its spectral measure vanishes on finite-dimensional sets (X denotes a Gaussian vector and h is a p -stable random variable concentrated on (0, oo )).

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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