Geodesic
Analog of the Carleman formula in the future tube
Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 3, pp. 330-334 
T. N. Nikitina. Analog of the Carleman formula in the future tube. Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 3, pp. 330-334. http://geodesic.mathdoc.fr/item/TMF_1989_78_3_a1/
@article{TMF_1989_78_3_a1,
     author = {T. N. Nikitina},
     title = {Analog of~the {Carleman} formula in~the future tube},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {330--334},
     year = {1989},
     volume = {78},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_78_3_a1/}
}
TY  - JOUR
AU  - T. N. Nikitina
TI  - Analog of the Carleman formula in the future tube
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 330
EP  - 334
VL  - 78
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_78_3_a1/
LA  - ru
ID  - TMF_1989_78_3_a1
ER  - 
%0 Journal Article
%A T. N. Nikitina
%T Analog of the Carleman formula in the future tube
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 330-334
%V 78
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1989_78_3_a1/
%G ru
%F TMF_1989_78_3_a1

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

An analogue of the Carleman formula reconstructing values of the function F(z) such that $\frac{F(z)}{[(z++{\mathbf i})^2]^{4/p}}\in H^p(\tau^+)$, holomorphic in the tube domain over the future light cone $\tau^+\subset\mathbb C^4$, by given values of $F(z)$ on a set $L$ of positive measure which lies on the distinguished boundary of the domain $\tau^+$, i. e. $L\subset\mathbb R^4$, $m_4(L)>0$, is obtained.

[1] Vladimirov V. S., Tr. MIAN, 166, 1984, 44–51 | MR | Zbl

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

[3] Vladimirov V. S., Sergeev A. G., Kompleksnyi analiz v trube buduschego, Itogi nauki i tekhn. VINITI. Sovrem. probl. matematiki. Fundamentalnye napravleniya, 8, VINITI, M., 1985

[4] Khua L.-K., Garmonicheskii analiz funktsii mnogikh kompleksnykh peremennykh v klassicheskikh oblastyakh, IL, M., 1959 | MR

[5] Bochner S., Ann. Math., 54 (1944), 686–707 | DOI | MR

[6] Kytmanov A. M., Nikitina T. N., “O formule Karlemana dlya obobschennogo edinichnogo kruga”, Aktualnye voprosy kompleksnogo analiza, Tezisy dokladov Vsesoyuznogo seminara molodykh uchenykh, Izd. TashGU, Tashkent, 1985, 60–61

[7] Rudin U., Teoriya funktsii v edinichnom share iz $\mathbb{C}^n$, Mir, M., 1984 | MR | Zbl

[8] Carleman T., Les functions analytiques, Paris, 1926

[9] Goluzin G. M., Krylov V. I., Matem. sb., 40:2 (1933), 144–149 | Zbl

[10] Aizenberg L. A., DAN SSSR, 277:6 (1984), 1289–1291 | MR