ON SOME PROPERTIES OF THE CLASS OF STATIONARY SETS
Lefèvre, Pascal
HAL, hal-00766023 / Harvested from HAL
Text on HAL
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.
Publié le : 1998-07-05
Classification:  UC sets,  stationary sets,  Sidon sets,  sets of continuity,  Rajchman sets,  random Fourier series,  Riesz products,  UC sets.,  42A20, 42A55, 42C10, 43A46, 43A77.,  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 
@article{hal-00766023,
     author = {Lef\`evre, Pascal},
     title = {ON SOME PROPERTIES OF THE CLASS OF STATIONARY SETS},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00766023}
}

Lefèvre, Pascal. ON SOME PROPERTIES OF THE CLASS OF STATIONARY SETS. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00766023/