Outer ideals and division in $A^{\infty }\left(\Omega \right)$

 Access to full text

 Full (PDF)

1. [1] E. Amar, Cohomologie complexe et applications, J. London Math. Soc.29 (1984), 127-147. Zbl0583.32033MR734998
2. [2] E. Amar, Non Division dans A∞, Math. Z.188 (1985), 593-511. Zbl0547.32010
3. [3] E. Amar, Division avec Singularités dans A∞, prépublication de l'Université de Bordeaux I., 8602, 1986. 
4. [4] P. De Bartolomeis - G. Tomassini, Finitely generated ideals in A∞(D), Adv. Math.46 (1982), 162-170. Zbl0499.32012
5. [5] E. Bierstone - P. Milman, Ideals of holomorphic functions with C∞ boundary values on a pseudo-convex domain, Trans. Amer. Math. Soc.304 (1) (1987), 323-342. Zbl0631.32015
6. [6] J. Chaumat - A.M. Chollet, Caractérisation et propriétés des ensembles localement pics de A∞(D), Duke Math. J.47 (1980), 763-787. Zbl0454.32013
7. [7] R. Gay - A. Sebbar, Division et Extension dans l'algèbre A∞ d'ouvert faiblement pseudoconvexe à bord lisse, Math. Z.189 (1985), 421-447. Zbl0547.32009
8. [8] M. Hickel, Quelques résultats de division dans A∞, Ann. Scuola Norm. Sup. Pisa Cl. Sci40 (1988), 35-63. Zbl0683.46040
9. [9] L. Hörmander, An introduction to complex analysis in several complex variables, Princeton University Press, Princeton, 1966. Zbl0138.06203
10. [10] J.J. Kohn, Global Regularity of ∂ on weakly p. c. manifolds, Trans. Amer. Math. Soc.181 (1973), 273-292. Zbl0276.35071
11. [11] B. Malgrange, Ideals of differentiable functions, Oxford University Press, Oxford, 1966. Zbl0177.17902MR212575
12. [12] A. Nagel, On Algebras of holomorphic functions with C∞ boundary values, Duke Math. J.40 (1974), 527-535. Zbl0291.32023
13. [13] M. Putinar, On dense ideals in space of analytic functions, Preprint, 1994. MR1313787
14. [14] M. Putinar - N. Salinas, Analytic Transversality and Nullstellensatz in Bergman Space, Contemp. Math.137 (1992), 367-381. Zbl0784.47010MR1190997
15. [15] W. Rudin, Real and Complex Analysis, McGraw-Hill, 1966. Zbl0142.01701MR210528
16. [16] J-P. Serre, Algèbre Locale. Multiplicitès, Lecture Notes in Mathematics, Vol. 11, Springer-Verlag, Berlin - New York, 1965. Zbl0142.28603MR201468
17. [17] J-C. Tougeron, Ideaux de fonctions differentiables, Ergbnisse der Mathematik, Vol. 71, Springer-Verlag, Berlin - New York, 1972. Zbl0251.58001MR440598