Geodesic
On some properties of the class of stationary sets
Colloquium Mathematicum, Tome 76 (1998) no. 1, pp. 1-18.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.
DOI : 10.4064/cm-76-1-1-18
Keywords: Rajchman sets, sets of continuity, stationary sets, UC sets, random Fourier series, Sidon sets, Riesz products

Pascal Lefevre 1

1 
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Pascal Lefevre. On some properties of the class of stationary sets. Colloquium Mathematicum, Tome 76 (1998) no. 1, pp. 1-18. doi : 10.4064/cm-76-1-1-18. http://geodesic.mathdoc.fr/articles/10.4064/cm-76-1-1-18/

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