Large algebras of singular functions vanishing on prescribed sets
Functional Analysis
2015-12-08 v1
Abstract
In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real line vanishing on a prescribed set Z is characterized in terms of Z. In this case, large algebraic structures are found inside such family. The results obtained complete or extend a number of previous ones by several authors.
Keywords
Cite
@article{arxiv.1512.02025,
title = {Large algebras of singular functions vanishing on prescribed sets},
author = {Luis Bernal-González and María del Carmen Calderón-Moreno},
journal= {arXiv preprint arXiv:1512.02025},
year = {2015}
}
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11 pages