STRUCTURE OF LÉVY MEASURES OF STABLE RANDOM FIELDS OF
Abstract: We study finite-dimensional distributions of symmetric -stable (abbreviated as
SS) random fields of Chentsov type, We discuss a structure of the spherical
components of Lévy measures and their determinism which depends on the dimension of the
parameter space Here we treat mainly the cases and where a proof is
direct and admits a geometrical understanding. The general case will be treated in .
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -