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On the Nachbin topology in spaces of holomorphic functions
Author(s):
Jorge
Mujica
Journal:
Bull. Amer. Math. Soc.
81
(1975),
904-906.
MSC (1970):
Primary 46E10, 46E25;
Secondary 32D10
MathSciNet review:
0383078
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Additional information
References:
- 1.
- H. Alexander, Analytic functions on Banach spaces. Thesis, University of California, Berkeley, Calif., 1968.
- 2.
- R. Aron, Holomorphy types for open subsets of a Banach space, Studia Math. 45 (1973), 273-289. MR 341088
- 3.
- S. B. Chae, Holomorphic germs on Banach spaces, Ann. Inst. Fourier (Grenoble) 21 (1971), 107-141. MR 344888
- 4.
- G. Coeuré, Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques, Ann. Inst. Fourier (Grenoble) 20 (1970), fasc. 1, 361-432. MR 43 #564. MR 274804
- 5.
- S. Dineen, Topologie de Nachbin et prolongement analytique en dimension infinie, C. R. Acad. Sci. Paris Sér. A-B 271 (1970), A643-A644. MR 43 #887. MR 275130
- 6.
- S. Dineen, Holomorphy types on a Banach space, Studia Math. 39 (1971), 241-288. MR 46 #3837. MR 304705
- 7.
- S. Dineen, Holomorphic functions on (c, Math. Ann. 196 (1972), 106-116. MR 45 #9118. MR 300070
- 8.
- M. Matos, Holomorphic mappings and domains of holomorphy, Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, 1970.
- 9.
- J. Mujica, Spaces of germs of holomorphic functions, Thesis, University of Rochester, Rochester, N. Y., 1974.
- 10.
- L. Nachbin, Topology on spaces of holomorphic mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 47, Springer-Verlag, New York, 1969. MR 40 #7787. MR 254579
- 11.
- L. Nachbin, Concerning spaces of holomorphic mappings, Rutgers University, New Brunswick, N. J., 1970.
- 12.
- M. Schottenloher, Über analytische Fortsetzung in Banachräumen, Math. Ann. 199 (1972), 313-336. MR 350073
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13880-8
PII:
S 0002-9904(1975)13880-8
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