On Cauchy--Bochner representations
Izvestiya. Mathematics , Tome 6 (1972) no. 3, pp. 529-535.

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

In this paper the classical Cauchy–Bochner integral representation is generalized to a more extensive class of functions holomorphic in tubular domains $T^C$ over a cone $C$.
@article{IM2_1972_6_3_a5,
     author = {V. S. Vladimirov},
     title = {On {Cauchy--Bochner} representations},
     journal = {Izvestiya. Mathematics },
     pages = {529--535},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a5/}
}
TY  - JOUR
AU  - V. S. Vladimirov
TI  - On Cauchy--Bochner representations
JO  - Izvestiya. Mathematics 
PY  - 1972
SP  - 529
EP  - 535
VL  - 6
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a5/
LA  - en
ID  - IM2_1972_6_3_a5
ER  - 
%0 Journal Article
%A V. S. Vladimirov
%T On Cauchy--Bochner representations
%J Izvestiya. Mathematics 
%D 1972
%P 529-535
%V 6
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a5/
%G en
%F IM2_1972_6_3_a5
V. S. Vladimirov. On Cauchy--Bochner representations. Izvestiya. Mathematics , Tome 6 (1972) no. 3, pp. 529-535. http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a5/

[1] Bochner S., “Group invariance of Cauchy's formula in several variables”, Ann. Math., 45 (1944), 686–707 | DOI | MR | Zbl

[2] Vladimirov V. S., Metody teorii funktsii mnogikh kompleksnykh peremennykh, Nauka, M., 1964 | MR

[3] Vladimirov V. S., “Obobschenie integralnogo predstavleniya Koshi–Bokhnera”, Izv. AN SSSR. Ser. matem., 33 (1969), 90–108 | MR

[4] Vladimirov V. S., “Zadacha lineinogo sopryazheniya golomorfnykh funktsii mnogikh kompleksnykh peremennykh”, Izv. AN SSSR. Ser. matem., 29 (1965), 807–834 | MR | Zbl

[5] Schwartz L., Théorie des distributions, t. I–II, Hermann, Paris, 1950–1951 | MR | Zbl

[6] Burbaki N., Topologicheskie vektornye prostranstva, IL, M., 1959