Article Dans Une Revue Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica Année : 2017

The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem

Raymond Mortini

Résumé

Using Baire's theorem, we give a very simple proof of a special version of the Lusin-Privalov theorem and deduce via Abel's theorem the Riemann-Cantor theorem on the uniqueness of the coefficients of pointwise convergent unilateral trigonometric series.

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hal-02114257 , version 1 (18-05-2019)

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Raymond Mortini. The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem. Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2017, 71 (1), pp.73. ⟨10.17951/a.2017.71.1.73⟩. ⟨hal-02114257⟩
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