English

Wilson bases and ultradistributions

Functional Analysis 2021-09-03 v1

Abstract

We give a characterization of Gelfand-Shilov type spaces of test functions and their dual spaces of tempered ultradistributions by the means of Wilson bases of exponential decay. We offer two different proofs, and extend known results to the Roumieu case.

Cite

@article{arxiv.2109.00820,
  title  = {Wilson bases and ultradistributions},
  author = {Nenad Teofanov},
  journal= {arXiv preprint arXiv:2109.00820},
  year   = {2021}
}

Comments

20 pages

R2 v1 2026-06-24T05:37:20.921Z