ON THE FREQUENT UNIVERSALITY OF UNIVERSAL TAYLOR SERIES IN THE COMPLEX PLANE

被引:5
|
作者
Mouze, A. [1 ,2 ]
Munnier, V. [2 ]
机构
[1] Univ Lille 1, Lab Paul Painleve, UMR 8524, Cite Sci, F-59650 Villeneuve Dascq, France
[2] Ecole Cent Lille, Cite Sci, CS20048, F-59651 Villeneuve Dascq, France
关键词
HYPERCYCLIC OPERATORS;
D O I
10.1017/S0017089516000069
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the classical universal Taylor series in the complex plane are never frequently universal. On the other hand, we prove the 1-upper frequent universality of all these universal Taylor series.
引用
收藏
页码:109 / 117
页数:9
相关论文
共 50 条
  • [1] Universal Taylor series have a strong form of universality
    Frédéric Bayart
    Vassili Nestoridis
    Journal d'Analyse Mathématique, 2008, 104 : 69 - 82
  • [2] Universal Taylor series have a strong form of universality
    Bayart, Frederic
    Nestoridis, Vassili
    JOURNAL D ANALYSE MATHEMATIQUE, 2008, 104 (1): : 69 - 82
  • [3] On countably universal series in the complex plane
    Charpentier, Stephane
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (06) : 1025 - 1042
  • [4] On universal Taylor series
    Kahane, JP
    Melas, A
    Nestoridis, V
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 330 (11): : 1003 - 1006
  • [5] Universal Taylor series
    Nestoridis, V
    ANNALES DE L INSTITUT FOURIER, 1996, 46 (05) : 1293 - &
  • [6] Mixing Taylor shifts and universal Taylor series
    Beise, H. -P.
    Meyrath, T.
    Mueller, J.
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2015, 47 : 136 - 142
  • [7] Smooth Universal Taylor Series
    Ch. Kariofillis
    Ch. Konstadilaki
    V. Nestoridis
    Monatshefte für Mathematik, 2006, 147 : 249 - 257
  • [8] Smooth universal Taylor Series
    Kariofillis, C
    Konstadilaki, C
    Nestoridis, V
    MONATSHEFTE FUR MATHEMATIK, 2006, 147 (03): : 249 - 257
  • [9] Universal Taylor series and summability
    Charpentier, S.
    Mouze, A.
    REVISTA MATEMATICA COMPLUTENSE, 2015, 28 (01): : 153 - 167
  • [10] Universal Taylor series and summability
    S. Charpentier
    A. Mouze
    Revista Matemática Complutense, 2015, 28 : 153 - 167