Results on Singular Distribution Products of Mikusiński Type

Results on products of Schwartz distributions are obtained when they have coinciding point singularities and only sums of the prod- ucts exist in the distribution space. These results follow the pattern of a well-know distributional product published by Jan Mikusi nski in 1966, and are named Mikusi nski type products. The formulas are derived as the distributions are embedded in Colombeau algebra of generalized functions. This algebra possesses optimal properties regarding the dis- tributional multiplication, and its notion of \association" allows one to obtain the results in terms of distributions.