Geodesic
On the asymptotic properties of functions holomorphic in tubular cones
Sbornik. Mathematics, Tome 64 (1989) no. 1, pp. 97-113 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For functions holomorphic in tube domains over a cone, the author studies the connection between their asymptotic behavior at the origin along orbits of one-parameter groups of linear transformations and asymptotic properties of the real parts of the boundary values of these functions. It is shown that, as a rule, the presence of certain asymptotics of the real part of a boundary value of a holomorphic function guarantees similar asymptotics for the whole function within the domain. Bibliography: 6 titles. 
@article{SM_1989_64_1_a5,
     author = {B. I. Zavialov},
     title = {On the asymptotic properties of functions holomorphic in tubular cones},
     journal = {Sbornik. Mathematics},
     pages = {97--113},
     year = {1989},
     volume = {64},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_64_1_a5/}
}
TY  - JOUR
AU  - B. I. Zavialov
TI  - On the asymptotic properties of functions holomorphic in tubular cones
JO  - Sbornik. Mathematics
PY  - 1989
SP  - 97
EP  - 113
VL  - 64
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1989_64_1_a5/
LA  - en
ID  - SM_1989_64_1_a5
ER  - 
%0 Journal Article
%A B. I. Zavialov
%T On the asymptotic properties of functions holomorphic in tubular cones
%J Sbornik. Mathematics
%D 1989
%P 97-113
%V 64
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1989_64_1_a5/
%G en
%F SM_1989_64_1_a5
B. I. Zavialov. On the asymptotic properties of functions holomorphic in tubular cones. Sbornik. Mathematics, Tome 64 (1989) no. 1, pp. 97-113. http://geodesic.mathdoc.fr/item/SM_1989_64_1_a5/

[1] Vladimirov V. S, Drozhzhinov Yu. N., Zavyalov B. I., Mnogomernye tauberovy teoremy dlya obobschennykh funktsii, Nauka, M., 1986 | MR

[2] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1979 | MR

[3] Drozhzhinov Yu. N., Zavyalov B. I., “Mnogomernye tauberovy teoremy sravneniya dlya obobschennykh funktsii v konusakh”, Matem. sb., 126(168) (1985), 515–542 | MR | Zbl

[4] Drozhzhinov Yu. N., Zavyalov B. I., “Asimptoticheskie svoistva nekotorykh klassov obobschennykh funktsii”, Izv. AN SSSR. Ser. matem., 49 (1985), 81–140 | MR

[5] Seneta E., Pravilno menyayuschiesya funktsii, Nauka, M., 1985 | MR | Zbl

[6] Hörmander L., “$L^2$-estimates and existence theorems for $\bar\partial$-operator”, Acta. Math., 113 (1965), 89–1952 | DOI | MR