Los teoremas de Fr\'echet, Montel y Popoviciu y los grafos de los polinomios discontinuos
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functionalequationspopoviciuanotherchetdiscontinuosechetequation
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This paper is an introduction to the regularity theory of functional equations, motivated by the study of Fr\'{e}chet's functional equation. Another main goal is to honor the work in functional equations of the Romanian mathematician Tiberiu Popoviciu.
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