Convolvability and regularization of distributions
Functional Analysis
2017-10-26 v1
Abstract
We apply L.~Schwartz' theory of vector valued distributions in order to simplify, unify and generalize statements about convolvability of distributions, their regularization properties and topological properties of sets of distributions. The proofs rely on propositions on the multiplication of vector-valued distributions and on the characterization of the spaces and of multipliers and convolutors for distribution spaces and .
Cite
@article{arxiv.1505.04599,
title = {Convolvability and regularization of distributions},
author = {C. Bargetz and E. A. Nigsch and N. Ortner},
journal= {arXiv preprint arXiv:1505.04599},
year = {2017}
}