Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 4, pp. 518-536
Citer cet article
B. N. Khabibullin. Entire minorizing functions: an experience of application of Matsaev–Ostrovskii–Sodin's estimates. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 4, pp. 518-536. http://geodesic.mathdoc.fr/item/JMAG_2004_11_4_a10/
@article{JMAG_2004_11_4_a10,
author = {B. N. Khabibullin},
title = {Entire minorizing functions: an experience of application of {Matsaev{\textendash}Ostrovskii{\textendash}Sodin's} estimates},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {518--536},
year = {2004},
volume = {11},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_4_a10/}
}
TY - JOUR
AU - B. N. Khabibullin
TI - Entire minorizing functions: an experience of application of Matsaev–Ostrovskii–Sodin's estimates
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2004
SP - 518
EP - 536
VL - 11
IS - 4
UR - http://geodesic.mathdoc.fr/item/JMAG_2004_11_4_a10/
LA - ru
ID - JMAG_2004_11_4_a10
ER -
%0 Journal Article
%A B. N. Khabibullin
%T Entire minorizing functions: an experience of application of Matsaev–Ostrovskii–Sodin's estimates
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2004
%P 518-536
%V 11
%N 4
%U http://geodesic.mathdoc.fr/item/JMAG_2004_11_4_a10/
%G ru
%F JMAG_2004_11_4_a10
Let $q$ be a positive function on the positive semi-axis of the complex plane $\mathbb C$. Special estimates for positive subharmonic canonical integral of genus $1$ and for their Riesz measures from recent work of V. I. Matsaev, I. V. Ostrovskii, and M. I. Sodin are applied to the proof of existence an entire function $f (z)\not\equiv 0$, $z\in\mathbb C$, with certain restriction of growth of $|f|$ on $\mathbb C$, such that $|f(x)|\le e^{-q(|x|)} $ at all $x\in\mathbb R$.
