A new proof of uniqueness for multiple trigonometric series

Ash, J. Marshall

doi:10.1090/S0002-9939-1989-0984780-8

A new proof of uniqueness for multiple trigonometric series

Author: J. Marshall Ash
Journal: Proc. Amer. Math. Soc. 107 (1989), 409-410
MSC: Primary 42A63; Secondary 26A24
DOI: https://doi.org/10.1090/S0002-9939-1989-0984780-8
Erratum: Proc. Amer. Math. Soc. 108 (1990), null.
MathSciNet review: 984780
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Abstract: Georg Cantor's 1870 theorem that an everywhere convergent to zero trigonometric series has all its coefficients equal to zero is given a new proof. The new proof uses the first formal integral of the series, while Cantor's proof used the second formal integral.

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