<mods:mods version="3.3" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-3.xsd" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><mods:titleInfo><mods:title>T-Convolution and its applications to n-dimensional distributions</mods:title></mods:titleInfo><mods:name type="personal"><mods:namePart type="given">А. А.</mods:namePart><mods:namePart type="family">Pogoruі</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:name type="personal"><mods:namePart type="given">D. О.</mods:namePart><mods:namePart type="family">Kovalenкo</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:name type="personal"><mods:namePart type="given">Ramón М.</mods:namePart><mods:namePart type="family">Rodríguez-Dagnіno</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:abstract>In this paper we introduce the notion of T-convolution, which is a generalization of&#13;
convolution to higher dimensions. By using T-convolution we construct n-dimensional distributions&#13;
having n+1 axes of symmetry. In addition, we can generalize well-known symmetric&#13;
probability distributions in one dimension to higher dimensions. In particular, we consider&#13;
generalizations of Laplace and triangle continuous distributions and we show their plots in the&#13;
two-dimensional case. As an example of discrete distributions, we study the T-convolution of&#13;
Poisson distributions in the plane.</mods:abstract><mods:classification authority="lcc">Mathematical Analysis</mods:classification><mods:originInfo><mods:dateIssued encoding="iso8061">2009</mods:dateIssued></mods:originInfo><mods:originInfo><mods:publisher>ROSE</mods:publisher></mods:originInfo><mods:genre>Article</mods:genre></mods:mods>