On products of distributions in Colombeau algebra (Q1719369)

Summary: Results on products of distributions \(x_+^{- k}\) and \(\delta^{(p)}(x)\) are derived. They are obtained in Colombeau differential algebra \(\mathcal{G}(\mathbb{R})\) of generalized functions that contains the space \(\mathcal{D} '(\mathbf{R})\) of Schwartz distributions as a subspace. Products of this form are useful in quantum renormalization theory in Physics.