Local characterization of holomorphic automorphisms of Siegel domains
Funkcionalʹnyj analiz i ego priloženiâ, Tome 17 (1983) no. 4, pp. 49-61.

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}
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A. E. Tumanov; G. M. Henkin. Local characterization of holomorphic automorphisms of Siegel domains. Funkcionalʹnyj analiz i ego priloženiâ, Tome 17 (1983) no. 4, pp. 49-61. http://geodesic.mathdoc.fr/item/FAA_1983_17_4_a4/

[1] Pyatetskii-Shapiro I.I., Geometriya klassicheskikh oblastei i teoriya avtomorfnykh funktsii, Nauka, M., 1961 | MR

[2] Rossi H., Vergne M., “Equations de Cauchy–Riemann tangentielles associetes a un domaine de Siegel”, Ann. Scient. Ec. Norm. Sup., 4e serie, 1976, no. 9, 31–80 | MR | Zbl

[3] Poincare H., “Les functions analytique de deux variables et la representation conforme”, Rend. Circ. Math., 23, Palermo, 1907, 185–220 | DOI | Zbl

[4] Alexander H., “Holomorphic mappings from the ball and polydisc”, Math. Ann., 209:2 (1974), 249–256 | DOI | MR | Zbl

[5] Tumanov A.E., Khenkin G.M., “Lokalnaya kharakterizatsiya analiticheskikh avtomorfizmov klassicheskikh oblastei”, DAN SSSR, 267:4 (1982), 796–799 | MR

[6] Naruki I., “Holomorphic extention problem for standard reali submanifolds of second kind”, Publ. RIMS, 6, no. 2, Kyoto Univ., 1970, 113–187 | DOI | MR | Zbl

[7] Malgranzh B., Lektsii po teorii funktsii neskolkikh kompleksnykh peremennykh, Nauka, M., 1969

[8] Fefferman C., “The Bergman kernel and biholomorphic mappings of pseudoconvex domains”, Invent. Math., 26:1 (1974), 1–65 | DOI | MR | Zbl

[9] Rudin W., “Holomorphic maps that extends to automorphisms of a ball”, Proc. Am. Math. Soc., 81:3 (1981), 429–432 | DOI | MR | Zbl

[10] Airapetyan G.A., Khenkin G.M., “Analiticheskoe prodolzhenie $CR$-funktsii cherez ”, DAN SSSR, 259:4 (1981), 777–781 | MR

[11] Pinchuk S.I., “Ob analiticheskom prodolzhenii golomorfnykh otobrazhenii”, Matem. sb., 98:3 (1975), 416–435 | MR | Zbl

[12] Lewy H., “On the boundary behavior of holomorphic mappings”, Acad. Naz. Lincei, 35:1 (1977), 1–8 | MR

[13] Bochner S., “Weak solutions of linear partial differential equations”, J. Math. Pure Appl., 35:2 (1956), 193–202 | MR | Zbl

[14] Harvey R., Polking J., “Removable singularities of solutions of linear partial differential equations”, Acta Math., 125:1 (1970), 39–50 | DOI | MR

[15] Lewy H., “On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables”, Ann. Math., 64:3 (1956), 514–522 | DOI | MR | Zbl

[16] Rossi H., “A generalization of a theorem of Huns Lewy”, Proc. Amer. Math. Soc., 19:2 (1968), 436–440 | DOI | MR | Zbl

[17] Federer H., Geometric measure theory, Springer-Verlag, 1969 | MR

[18] Cartan H., Sur les groupes des transformations analytiques, Hermann, Paris, 1935, 1–45

[19] Tanaka N., “On generalized graded Lie algebras and geometric structures”, J. Math. Soc. Japan., 19:2 (1967), 215–254 | DOI | MR | Zbl

[20] Goncharov A.B., “Infinitezimalnye struktury, svyazannye s ermitovymi simmetricheskimi prostranstvami”, Funkts. analiz, 15:3 (1981), 83–84 | MR | Zbl