Representations for Distribution Algebras
L. Berg · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1976
Abstract In [1] the possibility of multiplying distributions in the framework of a suitable algebra was shown, and a lot of new relations has been stated. Here we state simple representations by matrices as well as formal sums for such distribution algebras, which are equivalent to each other. By means of this representations it is possible to construct and to investigate models for distribution algebras, in which additional relations are valid. Furtheron it is possible to introduce integrals for products of distributions as well as seminorms or norms, respectively. Difficulties arising by an extension of the distribution algebra may be removed, considering distributions as operators like in [2].