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This article is cited in 3 scientific papers (total in 3 papers)
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
Abstract:
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.
Keywords:
subharmonic function, approximation, entire function, Riesz measure.
Received: 15.05.2018 Revised: 16.09.2018 Accepted: 17.09.2018
Citation:
K. P. Isaev, “On entire functions with given asymptotic behavior”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 12–30
Linking options:
https://www.mathnet.ru/eng/pa231 https://www.mathnet.ru/eng/pa/v25/i3/p12
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