Geodesic
Spectral synthesis on systems of unbounded convex domains
Sbornik. Mathematics, Tome 39 (1981) no. 3, pp. 343-357 
I. F. Krasichkov-Ternovskii. Spectral synthesis on systems of unbounded convex domains. Sbornik. Mathematics, Tome 39 (1981) no. 3, pp. 343-357. http://geodesic.mathdoc.fr/item/SM_1981_39_3_a2/
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     title = {Spectral synthesis on systems of unbounded convex domains},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of approximating solutions of systems of homogeneous convolution equations and the more general problem of spectral synthesis are considered in the situation where the original convex domains $G_1,\dots,G_q$ are unbounded. Conditions for admissibility of spectral synthesis are formulated in terms of the domains $G_1,\dots,G_q$. Bibliography: 8 titles.

[1] I. F. Krasichkov-Ternovskii, “Invariantnye podprostranstva analiticheskikh funktsii. I. Spektralnyi sintez na vypuklykh oblastyakh”, Matem. sb., 87(129) (1972), 459–487

[2] I. F. Krasichkov-Ternovskii, “Invariantnye podprostranstva analiticheskikh funktsii. II. Spektralnyi sintez na vypuklykh oblastyakh”, Matem. sb., 88(130) (1972), 3–30

[3] I. F. Krasichkov-Ternovskii, “Invariantnye podprostranstva analiticheskikh funktsii. III. O rasprostranenii spektralnogo sinteza”, Matem. sb., 88(130) (1972), 331–352

[4] I. F. Krasichkov-Ternovskii, “Spektralnyi sintez analiticheskikh funktsii na sistemakh vypuklykh oblastei”, Matem. sb., 111(153) (1980), 3–41 | MR

[5] I. F. Krasichkov-Ternovskii, “Lokalnoe opisanie zamknutykh idealov i podmodulei analiticheskikh funktsii odnoi peremennoi. I”, Izv. AN SSSR, seriya matem., 43 (1979), 87–110 | MR

[6] I. F. Krasichkov-Ternovskii, “Lokalnoe opisanie zamknutykh idealov i podmodulei analiticheskikh funktsii odnoi peremennoi. II”, Izv. AN SSSR, seriya matem., 43 (1979), 309–341 | MR

[7] B. Ya. Levin, Raspredelenie kornei tselykh funktsii, Gostekhizdat, Moskva, 1956

[8] I. F. Krasichkov-Ternovskii, “Sravnenie tselykh funktsii konechnogo poryadka po raspredeleniyu ikh kornei”, Matem. sb., 70(112) (1966), 198–230 | MR