The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem
Copyright policy ) Mortini, Raymond;
The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem
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.
- French National Centre for Scientific Research France
- University of Lorraine France
- University of Lorraine France
- Institut Élie Cartan de Lorraine France
Boundary behaviour of analytic functions, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], trigonometric series, [MATH] Mathematics [math], [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
Boundary behaviour of analytic functions, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], trigonometric series, [MATH] Mathematics [math], [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
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