Geodesic
Privilege on strictly convex domains
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 1, pp. 39-45.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We adapt the privilege theorem of Douady and Pourcin from polydomains to strictly convex domains in the complex space.
Adattiamo il «privilege theorem» di Douady e Pourcin da polidomini ai domini strettamente convessi nello spazio complesso. 
@article{RLIN_2004_9_15_1_a3,
     author = {Putinar, Mihai and Sandberg, Sebastian},
     title = {Privilege on strictly convex domains},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {39--45},
     publisher = {mathdoc},
     volume = {Ser. 9, 15},
     number = {1},
     year = {2004},
     zbl = {1225.32017},
     mrnumber = {774554},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_1_a3/}
}
TY  - JOUR
AU  - Putinar, Mihai
AU  - Sandberg, Sebastian
TI  - Privilege on strictly convex domains
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 2004
SP  - 39
EP  - 45
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_1_a3/
LA  - en
ID  - RLIN_2004_9_15_1_a3
ER  - 
%0 Journal Article
%A Putinar, Mihai
%A Sandberg, Sebastian
%T Privilege on strictly convex domains
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 2004
%P 39-45
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_1_a3/
%G en
%F RLIN_2004_9_15_1_a3
Putinar, Mihai; Sandberg, Sebastian. Privilege on strictly convex domains. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 1, pp. 39-45. http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_1_a3/

[1] E. Amar, Non division dans $A^{\infty}(\Omega)$. Math. Z., 188, 1985, 493-511. | fulltext EuDML | DOI | MR | Zbl

[2] J.A. Ball - T. Malakorn, Feedback control for multidimensional systems and interpolation problems for multivariable functions. Virginia Tech. Preprint, 2002. | Zbl

[3] A. Douady, Le problème des modules pour les sous-espaces analytiques compacts d’un espace analytique donné. Ann. Inst. Fourier, Grenoble, 16, 1966, 1-95. | fulltext EuDML | fulltext mini-dml | MR | Zbl

[4] A. Douady - J. Frisch - A. Hirschowitz, Recouvrements privilégiés. Ann. Inst. Fourier, Grenoble, 22, 1972, 59-96. | fulltext EuDML | fulltext mini-dml | MR | Zbl

[5] J. Eschmeier - M. Putinar, Spectral decompositions and analytic sheaves. London Mathematical Society monographs; new ser. 10, Oxford University Press, Clarendon Press, Oxford 1996. | MR | Zbl

[6] H. Grauert - R. Remmert, Theory of Stein spaces. Springer-Verlag, Berlin 1979. | MR | Zbl

[7] G.M. Henkin - J. Leiterer, Theory of functions on complex manifolds. Akademie-Verlag, Berlin 1984. | MR | Zbl

[8] G. Maltsiniotis, Privilège numérique uniforme. Astérisque, 194-195, Soc. Math. France, Paris 1991. | Zbl

[9] G. Pourcin, Sous-espaces privilégiés d’un polycylindre. Ann. Inst. Fourier, Grenoble, 25, 1975, 151-193. | fulltext EuDML | fulltext mini-dml | MR | Zbl