@article{zu213248, number = {17}, title = {T-Convolution and its applications to n-dimensional distributions}, author = {A. A. Pogorui and D. ?. Kovalen?o and Ram{\'o}n ?. Rodr{\'i}guez-Dagn?no}, publisher = {ROSE}, year = {2009}, pages = {349--363}, journal = {Stochastic Eqs}, url = {http://eprints.zu.edu.ua/13248/}, abstract = {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.} }