References
Alexander, H.: Analytic functions on Banach spaces. Thesis, University of California, Berkeley, 1968
Arens, R.: Dense inverse limit rings. Mich. Math. J.5, 169–182 (1958)
Coeuré, G.: Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques. Ann. Inst. Fourier20, 361–432 (1970)
Coeuré, G.: Analytic functions and manifolds in infinite dimensional spaces. Amsterdam: North-Holland 1974
Dineen, S.: Complex analysis in locally convex spaces. Amsterdam: North-Holland, 1981
Exbrayat, J.M.: Fonctions analytiques dans un espace de Banach (d'après Alexander). In: Séminaire P. Lelong, 1969. Lecture Notes in Mathematics, No.116, pp. 30–38. Berlin, Heidelberg, New York: Springer 1970
Gruman, L., Kiselman, C.O.: Le problème de Levi dans les espaces de Banach à base. C.R. Acad. Sci.275A, 1296–1299 (1972)
Gunning, R.C., Rossi, H.: Analytic functions of several variables. Englewood Cliffs: Prentice-Hall 1965
Hirschwitz: Prolongement analytique en dimension infinie. Ann. Inst. Fourier22, 255–296 (1972)
Isidro, J.M.: Characterization of the spectrum of some topological algebras of holomorphic functions. In: Advances in holomorphy. Ed. J. A. Barroso. Amsterdam. North-Holland 1979
Josefson, B.: A counterexample to the Levi problem. In: Proceedings on infinite dimensional holomorphy. Eds. T. L. Hayden, T. J. Suffridge. Lecture Notes in Mathematics, No.364, pp. 79–89. Berlin, Heidelberg, New York: Springer 1974
Matyszczyk, C.: Approximation of analytic and continuous mappings by polynomials in Fréchet spaces. Studia Math.60, 223–238 (1977)
Mujica, J.: The Oka-Weil theorem in locally convex spaces with the approximation property. Séminaire P. Krée, 1977/78. Exposé 3. Paris
Mujica, J.: Complex homomorphisms of the algebra of holomorphic functions on Fréchet spaces. Math. Ann.241, 73–82 (1979)
Rossi, H.: On envelopes of holomorphy. Comm. pure appl. Math.16, 9–19 (1963)
Schottenloher, M.: Über analytische Fortsetzung in Banachräumen. Math. Ann.199, 313–336 (1972)
Schottenloher, M.: Analytic continuation and regular classes in locally convex Hausdorff spaces. Portugal. Math.33, 219–250 (1974)
Schottenloher, M.: The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition. Ann. Inst. Fourier26, 207–237 (1976)
Schottenloher, M.: τ0=τω for domains in ℂN. In: Infinite dimensional holomorphy and applications. Ed. M. C. Matos., pp. 393–395. Amsterdam: North-Holland 1977
Schottenloher, M.: Michael problem and algebras of holomorphic functions. Arch. Math.37, 241–247 (1981)
Schottenloher, M.: Cartan-Thullen theorem for domains spread over DFM-spaces (to appear in J. reine angew. Math.)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schottenloher, M. Spectrum and envelope of holomorphy for infinite dimensional riemann domains. Math. Ann. 263, 213–219 (1983). https://doi.org/10.1007/BF01456881
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01456881