|
Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
On entire functions with given asymptotic behavior
K. P. Isaevab a Bashkir State University (BashSU),
32, Zaki Validi str., Ufa, Russia, 450076
b Institute of Mathematics, Ufa Federal Research Centre,
Russian Academy of Sciences (Institute of Mathematics UFRC RAS),
112, Chernyshevsky str., Ufa, Russia, 450008
Аннотация:
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.
Ключевые слова:
subharmonic function, approximation, entire function, Riesz measure.
Поступила в редакцию: 15.05.2018 Исправленный вариант: 16.09.2018 Принята в печать: 17.09.2018
Образец цитирования:
K. P. Isaev, “On entire functions with given asymptotic behavior”, Пробл. анал. Issues Anal., 7(25), спецвыпуск (2018), 12–30
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa231 https://www.mathnet.ru/rus/pa/v25/i3/p12
|
|