A CLASS OF ENTIRE DIRICHLET SERIES AS AN FK-SPACE AND A FRECHET SPACE

被引：0
|
作者：
Kumar, Niraj [1 ]
Manocha, Garima [1 ]
机构：
[1] Netaji Subhas Inst Technol, Sch Appl Sci, Sect Dwarka 3, New Delhi 110078, India
来源：
ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 06期
关键词：
Dirichlet series; Banach algebra; FK-space; Frechet space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper we consider a class of entire functions represented by Dirichlet series whose coefficients belong to a commutative Banach algebra and prove it to be a complex FK-space and a Frechet space.
引用
收藏
页码：1571 / 1578
页数：8
相关论文
共 50 条
  • [1] A CLASS OF ENTIRE DIRICHLET SERIES AS AN FK-SPACE AND A FRECHET SPACE
    Niraj KUMAR
    Garima MANOCHA
    Acta Mathematica Scientia, 2013, 33 (06) : 1571 - 1578
  • [2] Space of entire Dirichlet series
    Fedynyak, S., I
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2013, 5 (02) : 336 - 340
  • [3] Hardy space of translated Dirichlet series
    Fernandez Vidal, Tomas
    Galicer, Daniel
    Mereb, Martin
    Sevilla-Peris, Pablo
    MATHEMATISCHE ZEITSCHRIFT, 2021, 299 (1-2) : 1103 - 1129
  • [4] On a class of vector-valued entire Dirichlet series in n variables
    Chutani, Lakshika
    Kumar, Niraj
    Manocha, Garima
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2018, 22 (01): : 3 - 12
  • [5] A STUDY OF VARIOUS RESULTS FOR A CLASS OF ENTIRE DIRICHLET SERIES WITH COMPLEX FREQUENCIES
    Kumar, Niraj
    Manocha, Garima
    MATHEMATICA BOHEMICA, 2018, 143 (01): : 1 - 9
  • [6] Hardy space of translated Dirichlet series
    Tomás Fernández Vidal
    Daniel Galicer
    Martín Mereb
    Pablo Sevilla-Peris
    Mathematische Zeitschrift, 2021, 299 : 1103 - 1129
  • [7] THE PRODUCT OF A FRECHET SPACE AND A METRIZABLE SPACE
    VANDOUWEN, EK
    TOPOLOGY AND ITS APPLICATIONS, 1992, 47 (03) : 163 - 164
  • [8] ON AN ENTIRE FUNCTION REPRESENTED BY MULTIPLE DIRICHLET SERIES
    Chutani, Lakshika
    MATHEMATICA BOHEMICA, 2021, 146 (03): : 279 - 288
  • [9] THE STRUCTURE OF THE FRECHET SPACE s REGARDING THE SERIES Σ fn (xn)
    Salat, Tibor
    Vadovic, Peter
    REAL FUNCTIONS '08: FUNCTIONAL EQUATIONS, MEASURES, INTEGRATION AND HARMONIC ANALYSIS, 2009, 44 : 1 - +
  • [10] The differentiation operator in the space of uniformly convergent Dirichlet series
    Bonet, Jose
    MATHEMATISCHE NACHRICHTEN, 2020, 293 (08) : 1452 - 1458
12345