<P ALIGN=RIGHT><FONT SIZE=+4>49</FONT><P>
Probability laws with 1-stable marginals
Murad S. Taqqu
that if is a vector in and all linear
are 1-stable random variables, then X
is itself 1-stable. More generally,
a probability measure on a vector space whose univariate
marginals are 1-stable, is itself 1-stable.
This settles an outstanding problem of Dudley and Kanter.