Geodesic
Entire functions of several variables with given behaviour at infinity
Izvestiya. Mathematics , Tome 60 (1996) no. 4, pp. 857-876.

Voir la notice de l'article provenant de la source Math-Net.Ru

A theorem is proved on the possibility of asymptotically approximating a plurisubharmonic function with finite order of growth by the logarithmic modulus of an entire function. 
@article{IM2_1996_60_4_a4,
     author = {R. S. Yulmukhametov},
     title = {Entire functions of several variables with given behaviour at infinity},
     journal = {Izvestiya. Mathematics },
     pages = {857--876},
     publisher = {mathdoc},
     volume = {60},
     number = {4},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1996_60_4_a4/}
}
TY  - JOUR
AU  - R. S. Yulmukhametov
TI  - Entire functions of several variables with given behaviour at infinity
JO  - Izvestiya. Mathematics 
PY  - 1996
SP  - 857
EP  - 876
VL  - 60
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1996_60_4_a4/
LA  - en
ID  - IM2_1996_60_4_a4
ER  - 
%0 Journal Article
%A R. S. Yulmukhametov
%T Entire functions of several variables with given behaviour at infinity
%J Izvestiya. Mathematics 
%D 1996
%P 857-876
%V 60
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1996_60_4_a4/
%G en
%F IM2_1996_60_4_a4
R. S. Yulmukhametov. Entire functions of several variables with given behaviour at infinity. Izvestiya. Mathematics , Tome 60 (1996) no. 4, pp. 857-876. http://geodesic.mathdoc.fr/item/IM2_1996_60_4_a4/

[1] Azarin V. S., “O luchakh vpolne regulyarnogo rosta tseloi funktsii”, Matem. sb., 79:4 (1969), 463–476 | MR | Zbl

[2] Azarin V. S., “Ob asimptoticheskom povedenii subgarmonicheskikh funktsii konechnogo poryadka”, Matem. sb., 108(150) (1979), 147–167 | MR | Zbl

[3] Yulmukhametov R. S., “Priblizhenie subgarmonicheskikh funktsii”, Matem. sb., 124:3 (1984), 393–416 | MR

[4] Yulmukhametov R. S., “Approksimatsiya subgarmonicheskikh funktsii”, Analysis Mathematica, 11:3 (1985), 257–282 | DOI | MR | Zbl

[5] Lyubarskii Yu. I., Sodin M. L., Analog funktsii tipa sinusa dlya vypuklykh oblastei, Preprint No 17, FTINT AN USSR, 1986, 86 pp.

[6] Sigurdsson R., Growth properties of analytic and plurisubharmonic functions of finite order, Lund university, 1984

[7] Yulmukhametov R. S., Asimptotika plyurisubgarmonicheskikh funktsii, Preprint BFAN SSSR, 1986 | MR | Zbl

[8] Khermander P., Vvedenie v teoriyu funktsii neskolkikh kompleksnykh peremennykh, Mir, M., 1968 | MR

[9] Landkof N. S., Osnovy sovremennoi teorii potentsiala, Nauka, M., 1966 | MR | Zbl

[10] Favorov S. Yu., “O slozhenii indikatorov tselykh i subgarmonicheskikh funktsii”, Matem. sb., 105:1 (1978), 128–139 | MR

[11] Azarin V. S., “Ob odnom kharakteristicheskom svoistve funktsii vpolne regulyarnogo rosta vnutri ugla”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, no. 2, Kharkov, 1966, 55–66 | MR | Zbl

[12] Levin B. Ya., Tselye funktsii, Izd-vo MGU, M., 1971