Results on the Colombeau Products of the Distribution x + − r −1/2 with the Distributions x − − k −1/2 and x − k −1/2

Results on the products of the distribution x + − r −1/2 with the distributions x − − k −1/2 and x − k −1/2 are obtained in the differential algebra G (ℝ) of Colombeau generalized functions, which contains the space D ′(ℝ) of Schwartz distributions as a subspace; in this algebra the notion of association is defined, which is a faithful generalization of weak equality in G (ℝ). This enables treating the results in terms of distributions again.