English

Colombeau algebras without asymptotics

Functional Analysis 2017-04-27 v1

Abstract

We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition.

Keywords

Cite

@article{arxiv.1704.08167,
  title  = {Colombeau algebras without asymptotics},
  author = {Eduard A. Nigsch},
  journal= {arXiv preprint arXiv:1704.08167},
  year   = {2017}
}

Comments

22 pages

R2 v1 2026-06-22T19:28:36.485Z