Convolution of Distributions in Sequential Approach

Svetlana Mincheva-Kaminska

A new class of special upper approximate units together with the known Vladimirov class of special approximate units are used to consider various sequential conditions of convolvability of distributions. The equivalence of these conditions to the known conditions of convolvability given by C. Chevalley and L. Schwartz is proved together with the equivalence of the corresponding definitions of the convolution of distributions.