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Dineen, Seán

The Cartan-Thullen theorem for Banach spaces. (English) Zbl 0235.46037

Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 24 (1970), 667-676 (1971).
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Cited in 16 Documents

MSC:

46B20 Geometry and structure of normed linear spaces
32A10 Holomorphic functions of several complex variables
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References:

[1] Alexander , H. , Analytic Functions on Banach spaces , Thesis, University of California at Berkeley , 1968 .
[2] Bremermann , H.J. , Holomorphic functionals and complex convexity in Banach spaces , Pacific J. of Math. , 7 ( 1957 ), 811 - 831 . Article | MR 88709 | Zbl 0078.10901 · Zbl 0078.10901 · doi:10.2140/pjm.1957.7.811
[3] Bremermann , H.J. , Complex Convexity , Trans, Amer. Math. Soc. , 82 ( 1956 ) 17 - 51 . MR 79100 | Zbl 0070.30402 · Zbl 0070.30402 · doi:10.2307/1992976
[4] Cartan , II. and P. Thullen , Regularitäts - und Konvergenzbereiche , Math. Ann. 106 ( 1932 ) 617 - 647 . MR 1512777 | Zbl 0004.35704 | JFM 58.0347.02 · Zbl 0004.35704 · doi:10.1007/BF01455905
[5] Chae , S.B. , Holomorphic germs on Banach spaces , University of Rochester , Thesis ( 1969 ). · Zbl 0208.15002
[6] Coeuré , G. , Fonction plurisousharmoniques sur les espaces vectoriels topologiques et applications à l’étude des fonction analytiques , Thesis, Université de Nancy ( 1969 ).
[7] Dineen , S. , Holomorphy types on a Banach space , University of Maryland , Thesis, ( 1969 ) (to be published in Studia Math. ). Article | MR 304705 | Zbl 0235.32013 · Zbl 0235.32013
[8] Dineen , S. , Unbounded holomorphic functions on a Banach space , (to be published in Jour. Lond. Math. Soc. ). Zbl 0244.46015 · Zbl 0244.46015 · doi:10.1112/jlms/s2-4.3.461
[9] Gupta , C.P. , Malgrange theorem for nuclearly entire functions of bounded type on a Banach space , University of Rochester , Thesis ( 1966 ). Reproduced in Notas de Matematica Pura e Aplicada , Rio de Janeiro ( 1968 ). MR 632066 | Zbl 0182.45402 · Zbl 0182.45402
[10] Gunning , R. and H. Rossi , Analytic functions of several complex variables , Prentice Hall , 1965 . MR 180696 | Zbl 0141.08601 · Zbl 0141.08601
[11] Hirschowitz , A. , Remarques sur les ouverts d’holomorphie d’un produit dénombrable de droites ., Annales de l’Institut Fourier , 19 ( 1969 ) 219 - 229 . Numdam | MR 252674 | Zbl 0207.08203 · Zbl 0207.08203 · doi:10.5802/aif.314
[12] Hirschowitz , A. , Sur le non-plongement des varietes analytiques banachiques Réelles . C. R. Acad. Sc. , Paris , 269 ( 844 - 846 ) 1969 . MR 253376 | Zbl 0205.12203 · Zbl 0205.12203
[13] Hörmander , L. , An introduction to complex analysis in several variables , Van Nostrand , 1966 . MR 203075 | Zbl 0138.06203 · Zbl 0138.06203
[14] Horváth , J. , Topological vector spaces and distributions , Vol. I , Addison-Wesley , 1966 . MR 205028 | Zbl 0143.15101 · Zbl 0143.15101
[15] Nachbin , L. , Holomorphic functions, domains of holomorphy and local properties . Lecture notes at the University of Rochester , 1967 , Prepared by R. M. Aron. MR 274798 · Zbl 0208.10301
[16] Nachbin , L. , Thopology on spaces of holomorphic mappings. Ergebnisse der Matematik und ihre grenzgebiete 47 . Springer-Verlag , Berlin ( 1969 ). MR 254579 | Zbl 0172.39902 · Zbl 0172.39902
[17] Nachbin , L. , Concerning holomorphy types for Banach spaces , Proceedings of the Colloqnium on Nuclear Spacer and Ideals in Operator Algebras held in Warsaw, Poland , ( 1969 ) (to be published in Studia Mathematica ). Article | MR 278055 | Zbl 0212.14701 · Zbl 0212.14701
[18] Noverraz , P. , Fonctions plurisousharmonique et analytiques dans les espaces vectoriels topologiques complexes , Thesis, Faculte des Sciences de Paris , 1969 . MR 265628 · Zbl 0176.09903
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