On A-symmetric Multivariate Distributions* .e

A random vector is said to have a I-symmetric distribution if its characteristic function is of the form ¢(Itll + ••• + Itnl). I-symmetric distributions are characterized through representations of the admissible functions ¢ and through stochastic representations of the random vectors, and some of their properties are studied. AMS 1970 Subject Classification: Primary 60EOS.