On the space of ultradistributions vanishing at infinity

We study the structural and linear topological properties of the space <(B)over dot>(omega)'* of ultradistributions vanishing at infinity (with respect to a weight function omega). Particularly, we show the first structure theorem for <(B)over dot>(omega)'* under weaker hypotheses than were known so far. As an application, we determine the structure of the S-asymptotic behavior of ultradistributions.

Publication year:2020

Accessibility:Open