On solutions of linear equations with polynomial coefficients
Algebraic Geometry
2018-05-25 v2
Abstract
We show that a linear functional equation with polynomial coefficients need not admit an arc-analytic solution even if it admits a continuous semialgebraic one. We also show that such an equation need not admit a Nash regulous solution even if it admits an arc-analytic one.
Keywords
Cite
@article{arxiv.1711.08479,
title = {On solutions of linear equations with polynomial coefficients},
author = {Janusz Adamus and Hadi Seyedinejad},
journal= {arXiv preprint arXiv:1711.08479},
year = {2018}
}
Comments
Final (corrected) version, to appear in Ann. Polon. Math