On the ¯ -equation in a Banach space

Imre Patyi

Bulletin de la Société Mathématique de France (2000)

  • Volume: 128, Issue: 3, page 391-406
  • ISSN: 0037-9484

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Patyi, 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

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  8. [L3] LEMPERT (L.). — The Dolbeault complex in infinite dimensions III, to appear in Invent. Math. Zbl0983.32010
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  10. [L5] LEMPERT (L.). — Loop spaces as complex manifolds, J. Diff. Geom., t. 38, 1993, p. 519-543. Zbl0792.58008MR94m:58010
  11. [L6] LEMPERT (L.). — Approximation of holomorphic functions of infinitely many variables II, to appear in Ann. Inst. Fourier, Grenoble. Zbl0969.46032
  12. [M] MAZET (P.). — Analytic Sets in Locally Convex Spaces. — North-Holland Math. Studies 89, Amsterdam, 1984. Zbl0588.46032MR86i:32012
  13. [MV] MEISE (R.), VOGT (D.). — Counterexamples in holomorphic functions on nuclear Fréchet spaces, Math. Z., t. 182, 1983, p. 167-177. Zbl0509.46041MR84m:46048
  14. [MN] NEWLANDER (A.), NIRENBERG (L.). — Complex analytic coordinates in almost complex manifolds, Ann. of Math., t. 65, 1957, p. 391-404. Zbl0079.16102MR19,577a
  15. [R] RYAN (R.A.). — Holomorphic mappings in l1, Trans. Amer. Math. Soc., t. 302, 1987, p. 797-811. Zbl0637.46045MR88h:46089

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