On some properties of the class of stationary sets

• Autorzy: Pascal Lefevre
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Rajchman sets; sets of continuity; stationary sets; UC sets; random Fourier series; Sidon sets; Riesz products

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 76
• Numer: 1
• Strony: 1-18

Daty

wydano

1998

otrzymano

1996-04-18

poprawiono

1996-11-26

Twórcy

autor

Pascal Lefevre

• Université des ciences et techniques Lille 1, Bât. M2, 59655 Villeneuve d'Ascq, France

Bibliografia

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• [10] M. B. Marcus and G. Pisier, Random Fourier Series with Application to Harmonic Analysis, Ann. of Math. Stud. 101, Princeton Univ. Press, 1981.
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