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.
Keywords:
Rajchman sets, sets of continuity, stationary sets, UC sets, random Fourier series, Sidon sets, Riesz products
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
@article{10_4064_cm_76_1_1_18,
author = {Pascal Lefevre},
title = {On some properties of the class of stationary sets},
journal = {Colloquium Mathematicum},
pages = {1--18},
year = {1998},
volume = {76},
number = {1},
doi = {10.4064/cm-76-1-1-18},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-76-1-1-18/}
}
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