Geodesic
Holomorphic functions with positive imaginary part in the future tube. IV
Sbornik. Mathematics, Tome 33 (1977) no. 3, pp. 301-325 
V. S. Vladimirov. Holomorphic functions with positive imaginary part in the future tube. IV. Sbornik. Mathematics, Tome 33 (1977) no. 3, pp. 301-325. http://geodesic.mathdoc.fr/item/SM_1977_33_3_a1/
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     title = {Holomorphic functions with positive imaginary part in the future {tube.~IV}},
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The author obtains necessary and sufficient conditions on the growth indicatrix under which an integral representation holds for holomorphic functions with nonnegative imaginary part in the future tube. Bibliography: 15 titles.

[1] V. S. Vladimirov, Obobschennye funktsii v matematicheskoi fizike, izd-vo «Nauka», Moskva, 1976 | MR

[2] V. S. Vladimirov, “Golomorfnye funktsii s polozhitelnoi mnimoi chastyu v trube buduschego. I; II; III”, Matem. sb., 93(135) (1974), 3–17 ; 94(136) (1974), 499–515 ; 98(140) (1975), 292–297 | Zbl | MR | Zbl | MR | Zbl

[3] V. S. Vladimirov, “Golomorfnye funktsii s neotritsatelnoi mnimoi chastyu v trubchatoi oblasti nad konusom”, Matem. sb., 79(121) (1969), 128–152 | Zbl

[4] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, izd-vo «Nauka», Moskva, 1964 | MR

[5] V. S. Vladimirov, “Otsenki rosta granichnykh znachenii neotritsatelnykh plyurigarmonicheskikh funktsii v trubchatoi oblasti nad ostrym konusom”, sb., posvyaschennyi 70-letiyu akademika I. N. Vekua, izd-vo «Nauka», Moskva, 1977

[6] A. Korańyi, J. Pukansky, “Holomorphic functions with positive real part in polycylinder”, Trans. Amer. Math. Soc., 108 (1963), 449–456 | DOI | MR | Zbl

[7] V. S. Vladimirov, Yu. N. Drozhzhinov, “Golomorfnye funktsii v polikruge s neotritsatelnoi mnimoi chastyu”, Matem. zametki, 15:1 (1974), 55–61 | MR | Zbl

[8] L. A. Aizenberg, Sh. A. Dautov, “Golomorfnye funktsii mnogikh kompleksnykh peremennykh s neotritsatelnoi deistvitelnoi chastyu. Sledy golomorfnykh i plyurigarmonicheskikh funktsii na granitse Shilova”, Matem. sb., 99(141) (1976), 343–355 | MR

[9] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, izd-vo «Nauka», Moskva, 1965 | MR

[10] I. Stein, G. Veis, Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, izd-vo «Mir», Moskva, 1974

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

[12] W. Rühl, “Distributions on Minkowski space and their connection with analitic representations of the conformal group”, Comm. Math. Phys., 27 (1972), 53–86 | DOI | MR | Zbl

[13] Khua Lo-ken, Garmonicheskii analiz funktsii mnogikh kompleksnykh peremennykh v klassicheskikh oblastyakh, IL, Moskva, 1959

[14] M. Stoll, “Integral formulae for pluriharmonic functions on bounded symmetric domains”, Duke Math. J., 41 (1974), 393–404 | DOI | MR | Zbl

[15] A. Korańyi, “The Poisson integral for generalized half planes and bounded symmetric domains”, Ann. Math., 82 (1965), 332–350 | DOI | MR | Zbl