@article{BSMF_2000__128_3_391_0,
author = {Patyi, Imre},
title = {On the $\overline{\partial }$-equation in a {Banach} space},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {391--406},
year = {2000},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {128},
number = {3},
doi = {10.24033/bsmf.2374},
mrnumber = {2002e:58010},
zbl = {0967.32036},
language = {en},
url = {https://www.numdam.org/articles/10.24033/bsmf.2374/}
}
TY - JOUR
AU - Patyi, Imre
TI - On the $\overline{\partial }$-equation in a Banach space
JO - Bulletin de la Société Mathématique de France
PY - 2000
SP - 391
EP - 406
VL - 128
IS - 3
PB - Société mathématique de France
UR - https://www.numdam.org/articles/10.24033/bsmf.2374/
DO - 10.24033/bsmf.2374
LA - en
ID - BSMF_2000__128_3_391_0
ER -
%0 Journal Article
%A Patyi, Imre
%T On the $\overline{\partial }$-equation in a Banach space
%J Bulletin de la Société Mathématique de France
%D 2000
%P 391-406
%V 128
%N 3
%I Société mathématique de France
%U https://www.numdam.org/articles/10.24033/bsmf.2374/
%R 10.24033/bsmf.2374
%G en
%F BSMF_2000__128_3_391_0
Patyi, Imre. On the $\overline{\partial }$-equation in a Banach space. Bulletin de la Société Mathématique de France, Tome 128 (2000) no. 3, pp. 391-406. doi: 10.24033/bsmf.2374
[C] . - Les équations de Cauchy-Riemann sur un espace de Hilbert, manuscript.
[D] . - Cousin's first problem on certain locally convex topological vector spaces, Ann. Acad. Brasil. Cienc., t. 48, 1976, p. 11-12. | Zbl | MR
[H] . - An Introduction to Complex Analysis in Several Variables, 3rd edition. - North-Holland, Amsterdam, 1990. | Zbl | MR
[J] . - Simple examples of nonrealizable CR hypersurfaces, Proc. Amer. Math. Soc., t. 98, 1986, p. 467-468. | Zbl | MR
[LB] . - A Kähler structure on the space of string world sheets, Class. Quant. Gravity, t. 10, 1993, p. 141-148. | Zbl | MR
[L1] . - The Dolbeault complex in infinite dimensions I, J. Amer. Math. Soc., t. 11, 1998, p. 485-520. | Zbl | MR
[L2] . - The Dolbeault complex in infinite dimensions II, J. Amer. Math. Soc., t. 12, 1999, p. 775-793. | Zbl | MR
[L3] . - The Dolbeault complex in infinite dimensions III, to appear in Invent. Math. | Zbl | MR
[L4] . - Approximation de fonctions holomorphes d'un nombre infini de variables, Ann. Inst. Fourier, Grenoble, t. 49, 1999, p. 1293-1304. | Zbl | MR | Numdam | EuDML
[L5] . - Loop spaces as complex manifolds, J. Diff. Geom., t. 38, 1993, p. 519-543. | Zbl | MR
[L6] . - Approximation of holomorphic functions of infinitely many variables II, to appear in Ann. Inst. Fourier, Grenoble. | Zbl | Numdam
[M] . - Analytic Sets in Locally Convex Spaces. - North-Holland Math. Studies 89, Amsterdam, 1984. | Zbl | MR
[MV] , . - Counterexamples in holomorphic functions on nuclear Fréchet spaces, Math. Z., t. 182, 1983, p. 167-177. | Zbl | MR
[MN] , . - Complex analytic coordinates in almost complex manifolds, Ann. of Math., t. 65, 1957, p. 391-404. | Zbl | MR
[R] . - Holomorphic mappings in l1, Trans. Amer. Math. Soc., t. 302, 1987, p. 797-811. | Zbl | MR
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