ArticleOriginal scientific text
Title
The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem
Authors
Abstract
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.
Keywords
Boundary behaviour of analytic functions, trigonometric series
Bibliography
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Main language of publication
English
Published
2017
Published online
2017-06-30
Exact and natural sciences