Geodesic
Holomorphic functions with positive imaginary part in the future tube. II
Sbornik. Mathematics, Tome 23 (1974) no. 4, pp. 467-482 
V. S. Vladimirov. Holomorphic functions with positive imaginary part in the future tube. II. Sbornik. Mathematics, Tome 23 (1974) no. 4, pp. 467-482. http://geodesic.mathdoc.fr/item/SM_1974_23_4_a0/
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     title = {Holomorphic functions with positive imaginary part in the future {tube.~II}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this article we derive an integral representation characterizing functions which are holomorphic and have positive imaginary part in the tubular domain over the futute light cone. Bibliography: 10 titles.

[1] V. S. Vladimirov, “Golomorfnye funktsii s polozhitelnoi mnimoi chastyu v trube buduschego”, Matem. sb., 93 (135) (1974), 3–17 | Zbl

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

[3] V. S. Vladimirov, “Golomorfnye funktsii s neotritsatelnoi mnimoi chastyu v trubchatoi oblasti nad konusom”, Matem. sb., 79 (121) (1969), 128–162

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

[5] O. S. Rothaus, “Domains of positivity”, Abh. Math. Sem. Univ. Hamburg, 24 (1960), 189–238 | DOI | MR

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

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

[8] E. M. Stein, G. Weiss, Introduction to Fourier analysis on euclidean spaces, Princeton, 1971 | MR

[9] V. S. Vladimirov, “Preobrazovanie Laplasa obobschennykh funktsii medlennogo rosta”, Sovremennye problemy matematiki, 1, izd-vo «Nauka», Moskva, 1973, 61–84

[10] V. S. Vladimirov, “O postroenii obolochek golomorfnosti dlya oblastei spetsialnogo vida i ikh primeneniya”, Trudy Matem. in-ta im. V. A. Steklova, LX (1961), 101–144 | MR