ADMISSIBLE TRANSLATES FOR SUBGAUSSIAN MEASURES
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
is a measure which is
stable, has non-trivial admissible translates and its spectral measure vanishes on
finite-dimensional sets (
denotes a Gaussian vector and
is a
-stable random variable
concentrated on
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -