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arXiv · 1711.08479

On solutions of linear equations with polynomial coefficients

Janusz Adamus·Hadi Seyedinejad
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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.

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Janusz Adamus, Hadi Seyedinejad. 2018-05-24. On solutions of linear equations with polynomial coefficients. https://doi.org/10.4064/ap171122-29-12

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