The Cantor-Lebesgue property (Q1310162)

Beside the interesting results the paper gives a good survey. The abstract reads as follows: ``If the terms of a trigonometric series tend to zero at each point of a set and if the smallest additive group containing that set has positive outer Lebesgue measure, then the coefficients of that series tend to zero. This result generalizes the well-known Cantor-Lebesgue theorem. Several other extensions of the Cantor-Lebesgue theorem as well as some examples to demonstrate scope and sharpness are also given''.