Le problème du sur un espace de Hilbert
Bulletin de la Société Mathématique de France (1979)
- Volume: 107, page 225-240
- ISSN: 0037-9484
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topRaboin, Pierre. "Le problème du $\overline{\partial }$ sur un espace de Hilbert." Bulletin de la Société Mathématique de France 107 (1979): 225-240. <http://eudml.org/doc/87345>.
@article{Raboin1979,
author = {Raboin, Pierre},
journal = {Bulletin de la Société Mathématique de France},
keywords = {delta-equation on a Hilbert space; pseudoconvexe open set; compact operator; Cousin's first problem; Dfn spaces},
language = {fre},
pages = {225-240},
publisher = {Société mathématique de France},
title = {Le problème du $\overline\{\partial \}$ sur un espace de Hilbert},
url = {http://eudml.org/doc/87345},
volume = {107},
year = {1979},
}
TY - JOUR
AU - Raboin, Pierre
TI - Le problème du $\overline{\partial }$ sur un espace de Hilbert
JO - Bulletin de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 107
SP - 225
EP - 240
LA - fre
KW - delta-equation on a Hilbert space; pseudoconvexe open set; compact operator; Cousin's first problem; Dfn spaces
UR - http://eudml.org/doc/87345
ER -
References
top- [1]AVERBUKH (V. I.) et SMOLYANOV (O. G.). — The theory of differentiation in linear topological spaces, Russian math. Surveys, t. 22, 1967, p. 201-258. Zbl0312.46054
- [2]BOLAND (P.). —Duality and spaces of holomorphic functions, Infinite dimensional holomorphy and applications [1975. Univ. Campinas, Saõ Paulo], p. 131-138. - Amsterdam, North-Holland publishing Company, 1977 (North-Holland Mathematics Studies, 12). Zbl0372.46026MR58 #12359
- [3]BOLAND (P.). — Holomorphic functions on nuclear spaces, Trans. Amer. math. Soc., t. 209, 1975, p. 279-281. Zbl0317.46036MR52 #8931
- [4]BOLAND (P.) et DINEEN (S.). — Holomorphic functions on fully nuclear space, Preprint, 1977.
- [5] BONIC (R.) et FRAMPTON (J.). — Smooth functions on Banach manifolds, J. Math. and Mech., t. 15, 1966, p. 877-898. Zbl0143.35202MR33 #6647
- [6]CAMERON (R. H.). — The first variation of an indefinite Wiener integral, Proc. Amer. math. Soc., t. 2, 1951, p. 914-924. Zbl0044.12103MR13,659b
- [7]DINEEN (S.). — Cousin's first problem on certain locally convex topological spaces, Anais Acad. brasil. C., t. 48, 1976, p. 11-12. Zbl0354.46029MR55 #11290
- [8]GOODMAN (V.). — A divergence theorem for Hilbert space, Trans. Amer. math. Soc., t. 164, 1972, p. 411-426. Zbl0209.43403MR45 #7469
- [9]GROSS (L.). — Potential theory on Hilbert space, J. funct. Anal., t. 1, 1967, p. 123-181 Zbl0165.16403MR37 #3331
- [10]GRUMAN (L.). — The Levi problem in certain infinite dimensional vector spaces, Illinois J. of Math., t. 18, 1974, p. 20-26. Zbl0276.32017MR50 #993
- [11]J. HADAMARD. — Cours d'Analyse professé à l'École Polytechnique, Tome 2. - Paris, Hermann, 1930. Zbl56.0194.01JFM56.0194.01
- [12]HENRICH (C. J.). — The ∂ equation with polynomial growth on a Hilbert space, Duke math. J., t. 40, 1973, p. 279-306. Zbl0261.35063MR47 #9279
- [13]HIRSCHOWITZ (A.). — Prolongement analytique en dimension infinie, Ann. Inst. Fourier, t. 22, 1972, p. 255-292. Zbl0224.32015MR49 #11256
- [14]HÖRMANDER (L.). — An introduction to complex analysis in several variables. - Amsterdam, North-Holland publishing Company, 1973 (North-Holland mathematical Library, 7). Zbl0271.32001MR49 #9246
- [15]LLOYD (J.). — Smooth partition of unity on manifolds, Trans. Amer. math. Soc., t. 187, 1974, p. 249-259. Zbl0259.58005MR51 #11569
- [16]RABOIN (P.). — Étude de l'équation ∂f = g sur un espace de Hilbert, C. R. Acad. Sc. Paris, t. 282, 1976, série A, p. 627-630; et exposé aux Journées de fonctions analytiques [1976, Toulouse]. - Berlin, Springer-Verlag (Lecture Notes in Math. n° 578). Zbl0318.35065MR54 #6181
- [17]SCHAEFFER (H. H.). — Topological vector spaces, - Berlin, Springer-Verlag, 1971 (Graduate Texts in Mathematics, 3). Zbl0217.16002
- [18]SCHOTTENLOHER (M.). — The Levi problem for domains spead over I.c. spaces with a Schauder decomposition, Habilitationschrift München, 1974.
- [19]SKOROHOD (A. V.). — Integration in Hilbert space. - Berlin, Springer-Verlag, 1974 (Ergebnisse der Mathematik, 79). Zbl0307.28010MR57 #6360
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