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@article{IM2_1998_62_2_a3, author = {A. S. Krivosheev}, title = {Analytic continuation of functions from invariant subspaces in convex domains of the complex space}, journal = {Izvestiya. Mathematics }, pages = {287--312}, publisher = {mathdoc}, volume = {62}, number = {2}, year = {1998}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_2_a3/} }
TY - JOUR AU - A. S. Krivosheev TI - Analytic continuation of functions from invariant subspaces in convex domains of the complex space JO - Izvestiya. Mathematics PY - 1998 SP - 287 EP - 312 VL - 62 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1998_62_2_a3/ LA - en ID - IM2_1998_62_2_a3 ER -
A. S. Krivosheev. Analytic continuation of functions from invariant subspaces in convex domains of the complex space. Izvestiya. Mathematics , Tome 62 (1998) no. 2, pp. 287-312. http://geodesic.mathdoc.fr/item/IM2_1998_62_2_a3/
[1] Napalkov V. V., Uravneniya svertki v mnogomernykh prostranstvakh, Nauka, M., 1982 | MR
[2] Grotendik A. O., “O prostranstvakh $(F)$ i $(DF)$”, Matematika, 2:3 (1958), 81–127
[3] Krasichkov-Ternovskii I. F., “Odnorodnoe uravnenie tipa svertki na vypuklykh oblastyakh”, DAN SSSR, 197:1 (1971), 29–31 | MR
[4] Yulmukhametov R. S., “Odnorodnye uravneniya svertki”, DAN SSSR, 316:2 (1991), 312–315 | MR | Zbl
[5] Krivosheev A. S., Napalkov V. V., “Kompleksnyi analiz i operatory svertki”, UMN, 47:6(288) (1992), 3–58 | MR | Zbl
[6] Krasichkov-Ternovskii I. F., “Invariantnye podprostranstva analiticheskikh funktsii. I: Spektralnyi analiz na vypuklykh oblastyakh”, Matem. sb., 87(129):4 (1972), 459–489 | MR
[7] Krasichkov-Ternovskii I. F., “Invariantnye podprostranstva analiticheskikh funktsii. II: Spektralnyi sintez na vypuklykh oblastyakh”, Matem. sb., 88(130):1 (1972), 3–30
[8] Leontev A. F., “Ryady polinomov Dirikhle i ikh obobscheniya”, Tr. MIAN, 39, Nauka, M., 1951, 3–214 | MR | Zbl
[9] Kahane J. P., “Sur quelques problemes d'unicité et de prolongement, relatifs aux fonctions approchables par des sommes d'exponentielles”, Ann. Inst. Fourier, 5 (1953–1954), 39–130 | MR
[10] Leontev A. F., “O skhodimosti posledovatelnosti polinomov Dirikhle”, DAN SSSR, 108:1 (1956), 23–26 | MR | Zbl
[11] Baillette A., “Approximation de fonctions par des sommes d'exponentielles”, C. R. Acad. Sci. Paris, 249 (1959), 2470–2471 | MR | Zbl
[12] Krasichkov I. F., “Skhodimost polinoma Dirikhle”, Sib. matem. zhurn., 7 (1966), 1039–1058 | MR | Zbl
[13] Krasichkov-Ternovskii I. F., “Invariantnye podprostranstva analiticheskikh funktsii. Analiticheskoe prodolzhenie”, Izv. AN SSSR. Ser. matem., 37:4 (1973), 933–947
[14] Levin B. Ya., Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956
[15] Kiselman C. O., “Prolongement des solutions d'une equation aux dèrivèes partielles à coefficients constants”, Bull. Soc. Math. France, 97 (1969), 329–354 | MR
[16] Sebbar A., “Prolongements des solutions holomorphes de certains operateurs diffèrentiel d'ordre infini à coefficients constants”, Lect. Notes in Math., 822 (1980), 199–220 | DOI | MR | Zbl
[17] Meril A., Struppa D. C., “Convolutors of holomorphic functions”, Lect. Notes in Math., 1276 (1987), 253–275 | DOI | MR | Zbl
[18] Ishimura R., Okada Ya., “The existence and the continuation of holomorphic solutions for convolution equations in tube domains”, Bull. Soc. Math. France, 122 (1994), 413–433 | MR | Zbl
[19] Krivosheev A. S., “Ob indikatorakh tselykh funktsii i prodolzhenii reshenii odnorodnogo uravneniya svertki”, Matem. sb., 184:8 (1993), 81–108 | Zbl
[20] Dedonne Zh., Shvarts L., “Dvoistvennost v prostranstvakh $(F)$ i $(FL)$”, Matematika, 2:2 (1958), 77–107
[21] Lelon P., Gruman L., Tselye funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1989 | MR | Zbl
[22] Wiegerinck J. J., “Growth properties of Paley–Wiener functions on $\mathbb C^n$”, Nederl. Acad. Wetensch. Proc., 87 (1984), 95–112 | MR
[23] Leikhtveis K., Vypuklye mnozhestva, Nauka, M., 1985 | MR
[24] Rokafellar R., Vypuklyi analiz, Mir, M., 1973
[25] Ronkin L. I., Vvedenie v teoriyu tselykh funktsii mnogikh peremennykh, Nauka, M., 1971 | MR | Zbl
[26] Khermander L., Vvedenie v teoriyu funktsii neskolkikh kompleksnykh peremennykh, Mir, M., 1968 | MR