Quelques résultats de division dans
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1988)
- Volume: 15, Issue: 1, page 35-63
- ISSN: 0391-173X
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topHickel, Michel. "Quelques résultats de division dans $A^\infty (\Omega )$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 15.1 (1988): 35-63. <http://eudml.org/doc/84025>.
@article{Hickel1988,
author = {Hickel, Michel},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Fréchet space; ideal; ring of holomorphic functions},
language = {fre},
number = {1},
pages = {35-63},
publisher = {Scuola normale superiore},
title = {Quelques résultats de division dans $A^\infty (\Omega )$},
url = {http://eudml.org/doc/84025},
volume = {15},
year = {1988},
}
TY - JOUR
AU - Hickel, Michel
TI - Quelques résultats de division dans $A^\infty (\Omega )$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1988
PB - Scuola normale superiore
VL - 15
IS - 1
SP - 35
EP - 63
LA - fre
KW - Fréchet space; ideal; ring of holomorphic functions
UR - http://eudml.org/doc/84025
ER -
References
top- [1] E. Amar, Cohomologie complexe et applications, J. London Math. Soc. (2) 29, (1984), p. 127-140. Zbl0583.32033MR734998
- [2] E. Amar, Non division dans A∞(Ω), Math. Z.Band 188, 1985, p. 493-511. Zbl0547.32010
- [3] E. Amar, Division, avec singularités, dans A∞(Ω), prépublication, Université BordeauxI n° 8602.
- [4] P. De Bartolomeis - G. Tomassini, Finetely generated ideals in A∞(D), Adv. in Math. (46) 1982, p. 162-170. Zbl0499.32012
- [5] P. De Bartolomeis, Holomorphic generators of some ideals in C∞(D), preprint.
- [6] E. Bierstone - P.D. Milman, Composite differentiable functions, Ann. of Math.116, (1982), p. 541-558. Zbl0519.58003MR678480
- [7] E. Bierstone - P.D. Milman, Relations among analytic functions, preprint.
- [8] E. Bierstone - Lettres à E. Amar (juin, juillet 1984).
- [9] E. Bierstone - P.D. Milman, Ideals of holomorphic functions with C∞ boundary values on pseudo convex domain, preprint (1986).
- [10] J. Bruna - J.M. Ortega, Closed finetely generated ideals in algebras of holomorphic functions and smooth to the boundary in strictly pseudo-convex domains, Math. Ann.268, p. 137-157, (1984). Zbl0533.32002MR744604
- [11] Catlin ( D.), Global regularity of the ∂. Neumann problem, Proced. sympt. pures Math. vol 41, (1984), p. 39-49. Zbl0578.32031
- [12] J. D'Angelo, Real hypersurfaces, orders of contact and applications, Ann. of Math. (2) 115, (1982), p. 615-637. Zbl0488.32008MR657241
- [13] G. Fischer, Complex analytic geometry, Springer Lecture Notes in Math. n° 538. Zbl0343.32002MR430286
- [14] R. Gay - A. Sebbar, Division et extension dans l'algèbre A∞(Ω) d'un ouvert pseudo-convexe à bord lisse de Cn, Math. Z.Band 189, 1985, p. 421-447. Zbl0547.32009
- [15] M. Hickel, Sur un problème de division dans l'algèbre A∞(Ω) d'un ouvert faiblement pseudo-convexe de C2, prépublication.
- [16] H. Hironaka, Sub analytic sets. Number theory, Algebraic geometry and commutative algebra, p. 453-493, KinokuniyaTokyo1973. Zbl0297.32008MR377101
- [17] P. Jakobczazk, On Fornaess imbedding Theorem, preprint.
- [18] J.J. Kohn, Global regularity of ∂ on weakly pseudo-convex manifolds, Trans. Amer. Math. Soc.181, p. 273-292 (1973). Zbl0276.35071
- [19] B. Malgrange, Ideals of differentiable functions, Oxford university press, 1966. Zbl0177.17902MR212575
- [20] B. Malgrange, Sur les fonctions différentiables et les ensembles analytiques, Bull. Soc. Math. France, 91, 1963, p. 113-127. Zbl0113.06302MR152673
- [21] A. Nagel, Flatness criteria for modules of holomorphic functions on On, Duke Math. J., vol. 40 (1973), p. 433-448. Zbl0263.32004MR344517
- [22] A. Nagel, On algebras of holomorphic functions with C∞ boundary values, Duke Math. J., vol. 41, (1974), p. 527-535. Zbl0291.32023
- [23] J.M. Ortega, Sur une extension du problème de Gleason dans les domaines pseudo-convexes, Ann. Inst. Fourier Grenoble, 34-4, (1984), p. 67-74. Zbl0525.32017MR766274
- [23bis] J.M. Ortega, On Gleason's decomposition for A∞(Ω), preprint Université autonome de Barcelone.
- [24] J.P. Serre, Algèbre locale et multiplicités, Springer Lectures Notes n° 11, 1965. Zbl0142.28603MR201468
- [25] J.C. Tougeron, Idéaux de fonctions différentiables, Ergeb. Math.Band 71, Springer1972. Zbl0251.58001MR440598
- [26] D. Vogt, Subspaces and quotient spaces of S. In functional analysis surveys and recent results, North-Holland Math. Stud. n° 27 (1977), p. 167-187. Zbl0373.46016MR625306
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