ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR

被引：2

作者：

Isaev, K. P. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Math, Ufa Fed Res Ctr, 112 Chernyshevsky Str, Ufa 450008, Russia

[2] Bashkir State Univ BashSU, 32 Zaki Validi Str, Ufa 450076, Russia

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2018年 / 7卷

关键词：

subharmonic function; approximation; entire function; Riesz measure;

D O I：

10.15393/j3.art.2018.5451

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool. In questions of decomposition of functions into a series of exponentials, the subharmonic function, as a rule, satisfies the Lipschitz condition. We prove the theorem on approximation of such subharmonic functions. Also we prove the theorem on joint approximation of two subharmonic functions.

引用

页码：12 / 29

页数：18

共 8 条

[1]

Azarin V. S., 1969, MATH USSR SB, V8, P437

[2]

Isaev KP, 2017, UFA MATH J, V9, P48, DOI 10.13108/2017-9-3-48

[3]

[Луценко Владимир Иванович Lutsenko V.I.], 2010, [Уфимский математический журнал, Ufa Mathematical Journal, Ufimskii matematicheskii zhurnal], V2, P46

[4] On approximation of subharmonic functions [J].

Lyubarskii, Y ;

Malinnikova, E .

JOURNAL D ANALYSE MATHEMATIQUE, 2001, 83 (1) :121-149

[5]

NAPALKOV VV, 1987, MATH USSR IZV+, V51, P263

[6]

Ronkin L. I, 1971, VVEDENIE TEORIYU TSE

[7]

Sodin M. L, 1986, 17 UKR AC SCI I LOW

[8]

Yulmukhametov R.S., 1985, ANAL MATH, V11, P257

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