LACUNARY ENTIRE-FUNCTIONS

被引：8
|
作者：
OFFORD, AC
机构：
[1] Oxford, OX 2 6 QD
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1993年 / 114卷
关键词：
D O I：
10.1017/S0305004100071413
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It has been observed that lacunary functions and random functions often have many properties in common (cf. [5]). The present paper has the object of showing that lacunary entire functions behave in many respects like random entire functions. Both have the property of being large except in very small neighbourhoods of their zeros and these have a uniform angular distribution.
引用
收藏
页码：67 / 83
页数：17
相关论文
共 50 条
  • [1] LACUNARY INTERPOLATION FOR ENTIRE-FUNCTIONS
    UNNI, KR
    RAHMAN, QI
    SIVASUBRAMANIAM, K
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 90 (02) : 307 - 322
  • [2] GROWTH IN A SECTOR OF ENTIRE-FUNCTIONS REPRESENTED BY LACUNARY SERIES
    SHEREMETA, MN
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 1980, 21 (03) : 460 - 469
  • [3] ITERATIONS OF ENTIRE-FUNCTIONS
    EREMENKO, AE
    LIUBICH, MI
    [J]. DOKLADY AKADEMII NAUK SSSR, 1984, 279 (01): : 25 - 27
  • [4] ON THE PERMUTABILITY OF ENTIRE-FUNCTIONS
    ZHENG, JH
    YANG, CC
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 167 (01) : 152 - 159
  • [5] ENTIRE-FUNCTIONS OF OPERATORS
    MOORE, RL
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (02) : 273 - 279
  • [6] ENTIRE-FUNCTIONS AND DISCREPANCY
    BAKER, RC
    [J]. MONATSHEFTE FUR MATHEMATIK, 1986, 102 (03): : 179 - 182
  • [7] A CONDITION ON ENTIRE-FUNCTIONS
    CHERNOFF, PR
    RUBEL, LA
    ESSICK, J
    MALY, J
    VLASEK, Z
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1981, 88 (07): : 542 - 542
  • [8] A CONDITION ON ENTIRE-FUNCTIONS
    CHERNOFF, PR
    ESSICK, J
    MALY, J
    VLASEK, Z
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1983, 90 (07): : 488 - 489
  • [9] ON THE GROWTH OF ENTIRE-FUNCTIONS
    KWON, KH
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 1994, 86 (1-3) : 409 - 427
  • [10] GROWTH OF ENTIRE-FUNCTIONS
    MARCHENKO, II
    SHCHERBA, AI
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 1984, 25 (04) : 598 - 605
12345