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Bibliographie
Arenson, E. L.: Gleason parts and the Wermer-Hoffman theorem on characterization ofC(X). Sibirskii Math. Z.13, 1203–1212 (1972)
Barth, T. J.: The Kobayashi distance induces the standard topology. Proc. Amer. Math. Soc.35, 439–441 (1972)
Brelot, M., Choquet, G.: Le théorème de convergence en théorie du potentiel. J. Madras Univ.27, 277–286 (1957)
Bremmermann, M. F.: Die Charakterisierung Rungescher Gebiete durch plurisubharmonische Funktionen. Math. Ann.136, 173–186 (1958)
Browder, A.: Introduction to function algebras. New York: W. A. Benjamin Inc. 1969
Cnop, I.: Spectral study of holomorphic functions with bounded growth. Ann. Inst. Fourier22, 293–310 (1972)
Ferrier, J.-P.: Spectral theory and complex analysis. Amsterdam: North-Holland Publ. Co. 1973
Fuks, B. A.: Special chapter in the theory of analytic function of several complex variables. Transl. Math. Monographs14 (1965)
Function Algebras Proc. Int. Symp. Tulane Univ. (1965). Chicago: Scott, Foresman, 1966
Gamelin, T., Garnett, J.: Distinguished homomorphisms and fiber algebras. Amer. J. Math.92, 455–474 (1970)
Gunning, R. C., Rossi, H.: Analytic functions of several complex variables. Englewood Cliffs, N.J.: Prentice-Hall 1965
Hironaka, H., Rossi, H.: On the equivalence of embeddings of exceptional complex spaces. Math. Ann.156, 313–333 (1964)
Hormander, L.: An introduction to complex analysis in several variables. New York: Van Nostrand Co. 1966
Kaneyuki, S.: Homogeneous bounded domains and Siegel domains. Lecture Notes in Mathematics241. Berlin-Heidelberg-New York: Springer 1971
Kobayashi, S.: Hyperbolic manifolds and holomorphic mappings. New York: M. Dekker Inc. 1970
Kwak, M. H.: Mapping into hyperbolic spaces. Bull. Amer. Math. Soc.79, 695–697 (1973)
Lelong, P.: Fonctionnelles analytiques et fonctions entières (n variables). Montréal, Presses de l'Univ. (1968)
Narashiman, R.: Introduction to the theory of analytic spaces. Lecture Notes in Mathematics25. Berlin-Heidelberg-New York: Springer 1966
Narashiman, R.: Several complex variables. Lectures in Math. Chicago: The Univ. Chicago Press 1971
Piatetsky-Shapiro, I. I.: Géométrie des domaines classiques et fonctions automorphes. Paris: Dunod 1966
Reiffen, H. J.: Die caratheodorysche Distanz und ihre zugehörige Differentialmetrik. Math. Ann.161, 315–324 (1965)
Rossi, H.: Holomorphically convex sets in several complex variables. Ann. Math.74, 470–473 (1968)
Shiffmann, B.: On the removal of singularities of analytic sets. Michigan Math. J.15, 11–120 (1968)
Sibony, N.: Prolongement analytique des fonctions holomorphes bornées. C.R. Acad. Sc. Paris275, 973–976 (1972)
Sibony, N.: Approximation polynomiale pondérée dans un domaine d'holomorphie deC n. A paraitre aux Ann. Inst. Fourier
Stein, E. M.: Boundary behavior of holomorphic functions of several complex variables. Math. Notes, Princeton Univ. Press 1972
Stout, E. L.: The theory of uniform algebras. New York: Bogden and Quigley In. Publ. 1971
Zalcman, L.: Bounded analytic functions on domains of infinite connectivity. Transl. Amer. Math. Soc.144, 241–269 (1969)
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Sibony, N. Prolongement des fonctions holomorphes bornées et métrique de Carathéodory. Invent Math 29, 205–230 (1975). https://doi.org/10.1007/BF01389850
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DOI: https://doi.org/10.1007/BF01389850