On the -equation in a Banach space
Bulletin de la Société Mathématique de France (2000)
- Volume: 128, Issue: 3, page 391-406
- ISSN: 0037-9484
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topPatyi, Imre. "On the $\overline{\partial }$-equation in a Banach space." Bulletin de la Société Mathématique de France 128.3 (2000): 391-406. <http://eudml.org/doc/87832>.
@article{Patyi2000,
author = {Patyi, Imre},
journal = {Bulletin de la Société Mathématique de France},
keywords = { equation; Dolbeault isomorphism; Newlander-Nirenberg theorem; separable Banach space},
language = {eng},
number = {3},
pages = {391-406},
publisher = {Société mathématique de France},
title = {On the $\overline\{\partial \}$-equation in a Banach space},
url = {http://eudml.org/doc/87832},
volume = {128},
year = {2000},
}
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
PB - Société mathématique de France
VL - 128
IS - 3
SP - 391
EP - 406
LA - eng
KW - equation; Dolbeault isomorphism; Newlander-Nirenberg theorem; separable Banach space
UR - http://eudml.org/doc/87832
ER -
References
top- [C] COEURÉ (G.). — Les équations de Cauchy-Riemann sur un espace de Hilbert, manuscript.
- [D] DINEEN (S.). — Cousin's first problem on certain locally convex topological vector spaces, Ann. Acad. Brasil. Cienc., t. 48, 1976, p. 11-12. Zbl0354.46029MR55 #11290
- [H] HÖRMANDER (L.). — An Introduction to Complex Analysis in Several Variables, 3rd edition. — North-Holland, Amsterdam, 1990. Zbl0685.32001
- [J] JACOBOWITZ (H.). — Simple examples of nonrealizable CR hypersurfaces, Proc. Amer. Math. Soc., t. 98, 1986, p. 467-468. Zbl0605.32009MR87k:32034
- [LB] LEBRUN (C.). — A Kähler structure on the space of string world sheets, Class. Quant. Gravity, t. 10, 1993, p. 141-148. Zbl0790.53052MR94m:58009
- [L1] LEMPERT (L.). — The Dolbeault complex in infinite dimensions I, J. Amer. Math. Soc., t. 11, 1998, p. 485-520. Zbl0904.32014MR99f:58007
- [L2] LEMPERT (L.). — The Dolbeault complex in infinite dimensions II, J. Amer. Math. Soc., t. 12, 1999, p. 775-793. Zbl0926.32048MR2000e:32053
- [L3] LEMPERT (L.). — The Dolbeault complex in infinite dimensions III, to appear in Invent. Math. Zbl0983.32010
- [L4] LEMPERT (L.). — Approximation de fonctions holomorphes d'un nombre infini de variables, Ann. Inst. Fourier, Grenoble, t. 49, 1999, p. 1293-1304. Zbl0944.46046MR2001d:32027
- [L5] LEMPERT (L.). — Loop spaces as complex manifolds, J. Diff. Geom., t. 38, 1993, p. 519-543. Zbl0792.58008MR94m:58010
- [L6] LEMPERT (L.). — Approximation of holomorphic functions of infinitely many variables II, to appear in Ann. Inst. Fourier, Grenoble. Zbl0969.46032
- [M] MAZET (P.). — Analytic Sets in Locally Convex Spaces. — North-Holland Math. Studies 89, Amsterdam, 1984. Zbl0588.46032MR86i:32012
- [MV] MEISE (R.), VOGT (D.). — Counterexamples in holomorphic functions on nuclear Fréchet spaces, Math. Z., t. 182, 1983, p. 167-177. Zbl0509.46041MR84m:46048
- [MN] NEWLANDER (A.), NIRENBERG (L.). — Complex analytic coordinates in almost complex manifolds, Ann. of Math., t. 65, 1957, p. 391-404. Zbl0079.16102MR19,577a
- [R] RYAN (R.A.). — Holomorphic mappings in l1, Trans. Amer. Math. Soc., t. 302, 1987, p. 797-811. Zbl0637.46045MR88h:46089
Citations in EuDML Documents
top- László Lempert, Approximation of holomorphic functions of infinitely many variables II
- Francine Meylan, Approximation of holomorphic functions in Banach spaces admitting a Schauder decomposition
- Imre Patyi, Analytic cohomology of complete intersections in a Banach space
- László Lempert, Imre Patyi, Analytic sheaves in Banach spaces
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