On the algebraic dual of D(\Omega)
Functional Analysis
2019-03-18 v2
Abstract
This paper is concerned with the algebraic dual D*(\Omega) of the space of test functions D(\Omega). The emphasis is on failures and successes of D*(\Omega) as compared to the continuous dual D'(\Omega), the space of distributions. Topological properties, operations with elements of D*(\Omega) and applications to linear partial differential equations are discussed.
Keywords
Cite
@article{arxiv.1304.2512,
title = {On the algebraic dual of D(\Omega)},
author = {Michael Oberguggenberger},
journal= {arXiv preprint arXiv:1304.2512},
year = {2019}
}
Comments
22 pages