@article{SM_1992_72_2_a11,
author = {L. A. Aizenberg and A. M. Kytmanov},
title = {On the possibility of holomorphic extension into a~domain of function defined on a~connected piece of its boundary},
journal = {Sbornik. Mathematics},
pages = {467--483},
year = {1992},
volume = {72},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1992_72_2_a11/}
}
TY - JOUR AU - L. A. Aizenberg AU - A. M. Kytmanov TI - On the possibility of holomorphic extension into a domain of function defined on a connected piece of its boundary JO - Sbornik. Mathematics PY - 1992 SP - 467 EP - 483 VL - 72 IS - 2 UR - http://geodesic.mathdoc.fr/item/SM_1992_72_2_a11/ LA - en ID - SM_1992_72_2_a11 ER -
%0 Journal Article %A L. A. Aizenberg %A A. M. Kytmanov %T On the possibility of holomorphic extension into a domain of function defined on a connected piece of its boundary %J Sbornik. Mathematics %D 1992 %P 467-483 %V 72 %N 2 %U http://geodesic.mathdoc.fr/item/SM_1992_72_2_a11/ %G en %F SM_1992_72_2_a11
L. A. Aizenberg; A. M. Kytmanov. On the possibility of holomorphic extension into a domain of function defined on a connected piece of its boundary. Sbornik. Mathematics, Tome 72 (1992) no. 2, pp. 467-483. http://geodesic.mathdoc.fr/item/SM_1992_72_2_a11/
[1] Privalov I. I., Granichnye svoistva analiticheskikh funktsii, Gostekhizdat, M., 1950
[2] Khenkin G. M., Chirka E. M., “Granichnye svoistva golomorfnykh funktsii neskolkikh kompleksnykh peremennykh”, Sovremennye problemy matematiki, Itogi nauki i tekhn., 4, VINITI, M., 1975, 13–142
[3] Zin G., “3. Esistenza e rappresentazione di funzioni analitiche, le quali, su una curva di Jordan, si riducono a una funzione assegnata”, Ann. Mat. pura ed appl., 34 (1953), 365–405 | DOI | MR | Zbl
[4] Fok V. A., Kuni F. M., “O vvedenii «gasyaschei» funktsii v dispersionnye sootnosheniya”, DAN SSSR, 127:6 (1959), 1195–1198 | Zbl
[5] Patil D. I., “Representation of $H^p$-functions”, Bull. Amer. Math. Soc., 78:4 (1972), 617–620 | DOI | MR | Zbl
[6] Krein M. G., Nudelman P. Ya., “O nekotorykh novykh zadachakh dlya funktsii klassa Khardi i kontinualnykh semeistvakh s dvoinoi ortogonalnostyu”, DAN SSSR, 209:3 (1973), 537–540 | MR | Zbl
[7] Steiner A., “Abschuitte von Randfunktionen beschrankter analytischer Funktionen”, Lect. Notes Math., 419 (1974), 342–351 | DOI | MR | Zbl
[8] Tarkhanov N. N., “Kriterii razreshimosti nekorrektnoi zadachi Koshi dlya ellipticheskikh sistem”, DAN SSSR, 308:3 (1989), 531–534 | MR
[9] Aizenberg L. A., “O vozmozhnosti analiticheskogo prodolzheniya v oblast funktsii, zadannykh na duge granitsy etoi oblasti. Obobschennaya teorema Foka - Kuni”, Kompleksnyi analiz i matematicheskaya fizika, Sb. nauch. tr. IF SO AN SSSR, Krasnoyarsk, 1988, 5–11 | MR | Zbl
[10] Shaimkulov B. A., “O kriterii razreshimosti nekorrektnoi zadachi Koshi dlya golomorfnykh funktsii”, Vsesoyuznaya konf. po geometricheskoi teorii funktsii, Tez. dokl., Novosibirsk, 1988, 109 | MR | Zbl
[11] Znamenskaya L. N., “Kriterii golomorfnoi prodolzhimosti funktsii klassa $L^p$, zadannykh na chasti granitsy Shilova krugovoi silno zvezdnoi oblasti”, Sib. matem. zhurn., 31:3 (1990)
[12] Aizenberg L. A., Formuly Karlemana v kompleksnom analize, Nauka, Novosibirsk, 1990 | MR | Zbl
[13] Nevanlinna R., Odnoznachnye analiticheskie funktsii, Gostekhizdat, M., 1941
[14] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Fizmatgiz, M., 1962
[15] Roitberg Ya. A., “O znacheniyakh na granitse oblasti obobschennykh ellipticheskikh uravnenii”, Matem. sb., 86. (128) (1971), 248–267 | MR | Zbl
[16] Straube E. J., “Harmonic and analytic functions admitting a distribution boundary value”, Ann. Sci. norm. supper. Pisa cl. sci., 11:4 (1984), 559–591 | MR | Zbl
[17] Uells R., Differentsialnoe ischislenie na kompleksnykh mnogoobraziyakh, Mir, M., 1976 | MR
[18] Chirka E. M., “Analiticheskoe predstavlenie $CR$-funktsii”, Matem. sb., 98 (140) (1975), 591–623 | Zbl
[19] Kytmanov A. M., “Golomorfnoe prodolzhenie CR-funktsii s osobennostyami na giperpoverkhnosti”, Izv. AN SSSR. Ser. mat., 54:6 (1990), 1320–1330 | MR | Zbl
[20] Dautov Sh. A., Kytmanov A. M., “O granichnykh znacheniyakh integrala tipa Martinelli - Bokhnera”, Nekotorye svoistva golomorfnykh funktsii mnogikh kompleksnykh peremennykh, Sb. nauch. tr. IF SO AN SSSR, Krasnoyarsk, 1973, 49–54 | MR
[21] Folland G. B., Kohn J. J., The Neumann problem for the Cauchy - Riemann complex, Ann. Math. Stud., 75, Princeton. Univ. Press., 1972 | MR | Zbl
[22] Aronov A. M., Kytmanov A. M., “O golomorfnosti funktsii, predstavimykh integralom Martinelli - Bokhnera”, Funktsion. analiz i ego pril., 9:3 (1975), 83–84 | MR | Zbl
[23] Kytmanov A. M., Aizenberg L. A., “O golomorfnosti nepreryvnykh funktsii, predstavimykh integralom Martinelli - Bokhnera”, Izv. AN Arm. SSR. Ser. matem., 13:2 (1978), 158–169 | MR | Zbl
[24] Kytmanov A. M., “Razreshimost $\overline\partial$-zadachi Neimana dlya funktsii”, Kompleksnyi analiz i matematicheskaya fizika, Krasnoyarsk, 1988, 74–79 | MR | Zbl
[25] Sobolev S. L., Vvedenie v teoriyu kubaturnykh formul, Nauka, M., 1974 | MR
[26] Gonchar A. A., “On analytic continuation from the “edge of wedge””, Ann. Acad. Sci. Finnical. Ser. Al: Mathem., 10 (1985), 221–225 | MR | Zbl
[27] Krasichkov I. F., “Sistemy funktsii so svoistvom dvoinoi ortogonalnosti”, Matem. zametki, 4:5 (1968), 551–556 | Zbl