Geodesic
On~the~uniqueness of supports of analytic functionals
Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1129-1149.

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

This paper describes a class of convex compact sets $K$ in $\mathbf C^n$ having the following uniqueness property: $K$ is the unique support of every analytic functional for which it is a support. 
@article{IM2_1992_39_3_a2,
     author = {A. S. Krivosheev},
     title = {On~the~uniqueness of supports of analytic functionals},
     journal = {Izvestiya. Mathematics },
     pages = {1129--1149},
     publisher = {mathdoc},
     volume = {39},
     number = {3},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a2/}
}
TY  - JOUR
AU  - A. S. Krivosheev
TI  - On~the~uniqueness of supports of analytic functionals
JO  - Izvestiya. Mathematics 
PY  - 1992
SP  - 1129
EP  - 1149
VL  - 39
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a2/
LA  - en
ID  - IM2_1992_39_3_a2
ER  - 
%0 Journal Article
%A A. S. Krivosheev
%T On~the~uniqueness of supports of analytic functionals
%J Izvestiya. Mathematics 
%D 1992
%P 1129-1149
%V 39
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a2/
%G en
%F IM2_1992_39_3_a2
A. S. Krivosheev. On~the~uniqueness of supports of analytic functionals. Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1129-1149. http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a2/

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

[2] Kiselman C. O., “On entire functions of exponential type and indicators of analytic functionals”, Acta math., 117 (1967), 1–35 | DOI | MR | Zbl

[3] Kiselman C. O., “On unique supports of analytic functional”, Ark. mat., 6:18 (1965), 307–318 | MR

[4] Martineau A., “Unicité du support d'une fonctionnelle analytique: un théoréme de C. O. Kiselman”, Bull. sci. math., 91 (1967), 131–141 | MR

[5] Rokafellar R., Vypuklyi analiz, Mir, M., 1973

[6] Leikhtveis K., Vypuklye mnozhestva, Nauka, M., 1985 | MR

[7] Khimchenko B. N., “O povedenii supergarmonicheskikh funktsii vblizi granitsy oblasti tipa $A^{(I)}$”, Differents. uravn., 5:10 (1969), 1845–1853 | Zbl

[8] Napalkov V. V., Uravneniya svertki v mnogomernykh prostranstvakh, Nauka, M., 1982 | MR

[9] Krivosheev A. S., “Kriterii razreshimosti neodnorodnykh uravnenii svertki v vypuklykh oblastyakh prostranstva $\mathbf C^n$”, Izv. AN SSSR. Ser. matem., 54:3 (1990), 480–500 | MR | Zbl