Quelques résultats de division dans A ( Ω )

Michel Hickel

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1988)

  • Volume: 15, Issue: 1, page 35-63
  • ISSN: 0391-173X

How to cite

top

Hickel, 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. [1] E. Amar, Cohomologie complexe et applications, J. London Math. Soc. (2) 29, (1984), p. 127-140. Zbl0583.32033MR734998
  2. [2] E. Amar, Non division dans A∞(Ω), Math. Z.Band 188, 1985, p. 493-511. Zbl0547.32010
  3. [3] E. Amar, Division, avec singularités, dans A∞(Ω), prépublication, Université BordeauxI n° 8602. 
  4. [4] P. De Bartolomeis - G. Tomassini, Finetely generated ideals in A∞(D), Adv. in Math. (46) 1982, p. 162-170. Zbl0499.32012
  5. [5] P. De Bartolomeis, Holomorphic generators of some ideals in C∞(D), preprint. 
  6. [6] E. Bierstone - P.D. Milman, Composite differentiable functions, Ann. of Math.116, (1982), p. 541-558. Zbl0519.58003MR678480
  7. [7] E. Bierstone - P.D. Milman, Relations among analytic functions, preprint. 
  8. [8] E. Bierstone - Lettres à E. Amar (juin, juillet 1984). 
  9. [9] E. Bierstone - P.D. Milman, Ideals of holomorphic functions with C∞ boundary values on pseudo convex domain, preprint (1986). 
  10. [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. [11] Catlin ( D.), Global regularity of the ∂. Neumann problem, Proced. sympt. pures Math. vol 41, (1984), p. 39-49. Zbl0578.32031
  12. [12] J. D'Angelo, Real hypersurfaces, orders of contact and applications, Ann. of Math. (2) 115, (1982), p. 615-637. Zbl0488.32008MR657241
  13. [13] G. Fischer, Complex analytic geometry, Springer Lecture Notes in Math. n° 538. Zbl0343.32002MR430286
  14. [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. [15] M. Hickel, Sur un problème de division dans l'algèbre A∞(Ω) d'un ouvert faiblement pseudo-convexe de C2, prépublication. 
  16. [16] H. Hironaka, Sub analytic sets. Number theory, Algebraic geometry and commutative algebra, p. 453-493, KinokuniyaTokyo1973. Zbl0297.32008MR377101
  17. [17] P. Jakobczazk, On Fornaess imbedding Theorem, preprint. 
  18. [18] J.J. Kohn, Global regularity of ∂ on weakly pseudo-convex manifolds, Trans. Amer. Math. Soc.181, p. 273-292 (1973). Zbl0276.35071
  19. [19] B. Malgrange, Ideals of differentiable functions, Oxford university press, 1966. Zbl0177.17902MR212575
  20. [20] B. Malgrange, Sur les fonctions différentiables et les ensembles analytiques, Bull. Soc. Math. France, 91, 1963, p. 113-127. Zbl0113.06302MR152673
  21. [21] A. Nagel, Flatness criteria for modules of holomorphic functions on On, Duke Math. J., vol. 40 (1973), p. 433-448. Zbl0263.32004MR344517
  22. [22] A. Nagel, On algebras of holomorphic functions with C∞ boundary values, Duke Math. J., vol. 41, (1974), p. 527-535. Zbl0291.32023
  23. [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
  24. [23bis] J.M. Ortega, On Gleason's decomposition for A∞(Ω), preprint Université autonome de Barcelone. 
  25. [24] J.P. Serre, Algèbre locale et multiplicités, Springer Lectures Notes n° 11, 1965. Zbl0142.28603MR201468
  26. [25] J.C. Tougeron, Idéaux de fonctions différentiables, Ergeb. Math.Band 71, Springer1972. Zbl0251.58001MR440598
  27. [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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.