Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2012_91_5_a3, author = {G. G. Braichev and V. B. Sherstyukov}, title = {On the {Growth} of {Entire} {Functions} with {Discretely} {Measurable} {Zeros}}, journal = {Matemati\v{c}eskie zametki}, pages = {674--690}, publisher = {mathdoc}, volume = {91}, number = {5}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a3/} }
G. G. Braichev; V. B. Sherstyukov. On the Growth of Entire Functions with Discretely Measurable Zeros. Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 674-690. http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a3/
[1] B. Ya. Levin, Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956 | MR | Zbl
[2] A. A. Goldberg, “Integral po poluadditivnoi mere i ego prilozhenie k teorii tselykh funktsii. III”, Matem. sb., 65:3 (1964), 414–453 | MR | Zbl
[3] A. A. Goldberg, “Integral po poluadditivnoi mere i ego prilozhenie k teorii tselykh funktsii. IV”, Matem. sb., 66:3 (1965), 411–457 | MR | Zbl
[4] A. A. Kondratyuk, “Ekstremalnyi indikator dlya tselykh funktsii s polozhitelnymi nulyami”, Litovsk. matem. sb., 7:1 (1967), 79–117 | MR | Zbl
[5] A. A. Kondratyuk, “Tselye funktsii s polozhitelnymi nulyami, imeyuschimi konechnuyu maksimalnuyu plotnost”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, 7 (1968), 37–52, Kharkov | MR | Zbl
[6] A. A. Kondratyuk, “Ob ekstremalnom indikatore tselykh funktsii s polozhitelnymi nulyami”, Sib. matem. zhurn., 11:5 (1970), 1084–1092 | MR | Zbl
[7] N. V. Govorov, “Ekstremalnii indikator tsiloï funktsiï z dodatnimi nulyami zadanoï verkhnoï ta nizhnoï gustini”, Dopovidi AN URSR, 2 (1966), 148–150 | MR | Zbl
[8] M. I. Andrashko, “Ekstremalnii indikator tsiloï funktsiï poryadku menshe odinitsi z dodatnimi nulyami”, Dopovidi AN URSR, 7 (1960), 869–872 | Zbl
[9] B. N. Khabibullin, “O tipe tselykh i meromorfnykh funktsii”, Matem. sb., 183:11 (1992), 35–44 | MR | Zbl
[10] A. Yu. Popov, “O polnote v prostranstvakh analiticheskikh funktsii sistem eksponent s veschestvennymi pokazatelyami zadannoi verkhnei plotnosti”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1999, no. 5, 48–52 | MR | Zbl
[11] A. Eremenko, P. Yuditskii, An Extremal Problem for a Class of Entire Functions of Exponential Type, arXiv: math.CV/0807.2054
[12] B. N. Khabibullin, “Posledovatelnost nulei golomorfnykh funktsii, predstavlenie meromorfnykh funktsii. II. Tselye funktsii”, Matem. sb., 200:2 (2009), 129–158 | MR | Zbl
[13] A. Yu. Popov, “O naimenshem tipe tseloi funktsii poryadka $\rho$ s kornyami zadannoi verkhnei $\rho$-plotnosti, lezhaschimi na odnom luche”, Matem. zametki, 85:2 (2009), 246–260 | MR | Zbl
[14] A. Yu. Popov, “Naimenshii vozmozhnyi tip pri poryadke $\rho1$ kanonicheskikh proizvedenii s polozhitelnymi nulyami zadannoi verkhnei $\rho$-plotnosti”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2005, no. 1, 31–36 | MR | Zbl
[15] G. G. Braichev, V. B. Sherstyukov, “O naimenshem vozmozhnom tipe tselykh funktsii poryadka $\rho\in(0,1)$ s polozhitelnymi nulyami”, Izv. RAN. Ser. matem., 75:1 (2011), 3–28 | MR | Zbl
[16] P. Malliavin, L. A. Rubel, “On small entire functions of exponential type with given zeros”, Bull. Soc. Math. France, 89 (1961), 175–206 | MR | Zbl
[17] A. M. Sedletskii, Klassy analiticheskikh preobrazovanii Fure i eksponentsialnye approksimatsii, Fizmatlit, M., 2005
[18] G. G. Braichev, Vvedenie v teoriyu rosta vypuklykh i tselykh funktsii, Prometei, M., 2005
[19] G. G. Braichev, V. B. Sherstyukov, “On an extremal problem related to the completeness of a system of exponentials in the disk”, Asian-Eur. J. Math., 1:1 (2008), 15–26 | DOI | MR | Zbl
[20] G. G. Braichev, V. B. Sherstyukov, “Tochnye sootnosheniya mezhdu plotnostyami nulei tselykh funktsii konechnogo poryadka”, Matematichni studiï, 30:2 (2008), 183–188 | MR | Zbl