Some remarks on abstract Universal series

被引：4

作者：

Kyrezi, I.

Nestoridis, V. ^{[1
]}

Papachristodoulos, C. ^{[2
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

[2] Univ Crete, Dept Math, Iraklion 71409, Crete, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 02期

关键词：

Universal series; Abstract theory of Universal series; Baire's Category Theorem; Generic property; Taylor series; Upper density; Lower density;

D O I：

10.1016/j.jmaa.2011.09.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new class of Universal series, in the abstract setting. This class lies between two already known classes of Universal series. By two examples we differentiate these classes. These examples are the first examples in the case where all classes are non-void. We also prove that the class of Universal series where the approximating indexes have upper density 1 is dense and G(delta) and that the class of lower frequently universal series is of the first category. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：878 / 884

页数：7

共 50 条

[21] Some properties of universal Dirichlet series
A. Mouze
[J]. Monatshefte für Mathematik, 2019, 189 : 487 - 506
[22] REMARKS ON SOME VARIABLE DOMAIN PROBLEMS IN ABSTRACT EVOLUTION EQUATIONS
CARROLL, RW
COOPER, JM
[J]. MATHEMATISCHE ANNALEN, 1970, 188 (02) : 143 - &
[23] SOME REMARKS ON UNIQUENESS FOR A CLASS OF SINGULAR ABSTRACT CAUCHY PROBLEMS
DONALDSON, JA
GOLDSTEIN, JA
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) : 149 - 153
[24] SOME REMARKS ON FORMAL POWER SERIES AND FORMAL LAURENT SERIES
Bugajewski, Dariusz
Gan, Xiao-Xiong
[J]. MATHEMATICA SLOVACA, 2017, 67 (03) : 631 - 644
[25] SOME REMARKS ON THE VARIABILITY OF CHARACTERISTICS IN THE FOSSIL SERIES
FEREMBACH, D
[J]. BULLETINS ET MEMOIRES DE LA SOCIETE D ANTHROPOLOGIE DE PARIS, 1961, 2 (02): : 154 - 165
[26] Some Remarks on the Algebra of Bounded Dirichlet Series
Brian Maurizi
Hervé Queffélec
[J]. Journal of Fourier Analysis and Applications, 2010, 16 : 676 - 692
[27] Some Remarks on the Algebra of Bounded Dirichlet Series
Maurizi, Brian
Queffelec, Herve
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2010, 16 (05) : 676 - 692
[28] Remarks on some points in the theory of divergent series
Hardy, GH
[J]. ANNALS OF MATHEMATICS, 1935, 36 : 167 - 181
[29] Some remarks on faster convergent infinite series
Holy, Dusan
Matejicka, Ladislav
Pinda, L'udovit
[J]. MATHEMATICA SLOVACA, 2012, 62 (04) : 785 - 804
[30] SOME REMARKS ON EISENSTEIN SERIES FOR METAPLECTIC COVERINGS
MORRIS, L
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1983, 35 (06): : 974 - 985

← 1 2 3 4 5 →