ON THE CONVERGENCE OF STABLE MEASURES IN A BANACH SPACE
Abstract: In this paper a space of functions generating stable measures on a Banach space is
introduced. Some properties of this space are investigated. Then as applications, necessary
and sufficient conditions for the weak convergence of stable measures on a Banach space are
given. The convergence of sums of independent stable random variables with Banach values
is investigated as well.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -