On the relation between the model product and the harmonic product of distributions (Q2702408)

The author proves a theorem stating that two approaches to the definition of the product of distributions in \(\mathcal{D}^\prime(\mathbb{R}^n)\) coincide. One of the approaches defines the product of distributions as the boundary limit of products of harmonic representatives of distributions, this approach being known as the Tillmann product in case of one variable. Another one is the limit of the corresponding identity approximations of distributions. The author remarks also that this result was proved earlier by another method by \textit{V. Boie} [Commun. Math. Univ. Carol. 39, No. 2, 309-321 (1998; Zbl 0937.46031)].NEWLINENEWLINEFor the entire collection see [Zbl 0953.00049].