New formulas for inidicators of subharmonic functions
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 25-72
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The paper concerns the theory of growth of subharmonic functions of finite order. Main characteristics of growth of ones are indicator and lower indicator. There is a theorem among main results of the paper where new formulas for indicator are showed. A criterium of complete regularity in sense of Levin and Pfluger is demonstrated as application. This criterium is formulated for a fixed ray. It is sharpening of a theorem of B. Ya. Levin. Another theorems attributed to the main results is in-deps elaboration of a theorem of Bernstein. Often under investigation of a subharmonic function it is likened to one that produced by translation of Riesz' measure of initial function to a finite system of rays. New property of the operation of translation are among other results of the paper.
@article{JMAG_2005_12_1_a2,
author = {A. F. Grishin and T. I. Malyutina},
title = {New formulas for inidicators of subharmonic functions},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {25--72},
year = {2005},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a2/}
}
A. F. Grishin; T. I. Malyutina. New formulas for inidicators of subharmonic functions. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 25-72. http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a2/