On solutions of linear equations with polynomial coefficients
Volume 121 / 2018
Annales Polonici Mathematici 121 (2018), 1-6
MSC: Primary 14P10, 14P20, 14P99.
DOI: 10.4064/ap171122-29-12
Published online: 19 February 2018
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.
