International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 1, Pages 165-168
doi:10.1155/S0161171293000195
On a conditional Cauchy functional equation of several variables and a characterization of multivariate stable distributions
Arjun K. Gupta
, Truc T. Nguyen
and Weibin Zeng
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green 43403-0221, Ohio, USA
Abstract
The general solution of a conditional Cauchy functional equation of several variables is obtained and its applications to the characterizations of multivariate stable distributions are studied.