%0 Journal Article
%A Pogorui, A. A.
%A Kovalenкo, D. О.
%A Rodríguez-Dagnіno, Ramón М.
%D 2009
%F zu2:13248
%I ROSE
%J Stochastic Eqs
%N 17
%P 349-363
%T T-Convolution and its applications to n-dimensional distributions
%U http://eprints.zu.edu.ua/13248/
%X In this paper we introduce the notion of T-convolution, which is a generalization of  convolution to higher dimensions. By using T-convolution we construct n-dimensional distributions  having n+1 axes of symmetry. In addition, we can generalize well-known symmetric  probability distributions in one dimension to higher dimensions. In particular, we consider  generalizations of Laplace and triangle continuous distributions and we show their plots in the  two-dimensional case. As an example of discrete distributions, we study the T-convolution of  Poisson distributions in the plane.