no. 1
On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of ∂ ¯-closed (n,n-1)-forms
Hatziafratis, Telemachos1
1 University of Athens Department of Mathematics Panepistemiopolis Athens 15784 GREECE
Annales mathématiques Blaise Pascal, Tome 11 (2004) no. 1, pp. 41-46.

We give a proof of an integral formula of Berndtsson which is related to the inversion of Fourier-Laplace transforms of ∂ ¯-closed (n,n-1)-forms in the complement of a compact convex set in ℂ n .

DOI : 10.5802/ambp.184
Hatziafratis, Telemachos 1

1 University of Athens Department of Mathematics Panepistemiopolis Athens 15784 GREECE 
@article{AMBP_2004__11_1_41_0,
     author = {Hatziafratis, Telemachos},
     title = {On an integral formula of {Berndtsson} related to the inversion of the {Fourier-Laplace} transform of $\bar{\partial }$-closed $(n,n-1)$-forms},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {41--46},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {11},
     number = {1},
     year = {2004},
     doi = {10.5802/ambp.184},
     zbl = {1085.32002},
     mrnumber = {2077237},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/ambp.184/}
}
TY  - JOUR
AU  - Hatziafratis, Telemachos
TI  - On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of $\bar{\partial }$-closed $(n,n-1)$-forms
JO  - Annales mathématiques Blaise Pascal
PY  - 2004
SP  - 41
EP  - 46
VL  - 11
IS  - 1
PB  - Annales mathématiques Blaise Pascal
UR  - http://www.numdam.org/articles/10.5802/ambp.184/
DO  - 10.5802/ambp.184
LA  - en
ID  - AMBP_2004__11_1_41_0
ER  - 
%0 Journal Article
%A Hatziafratis, Telemachos
%T On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of $\bar{\partial }$-closed $(n,n-1)$-forms
%J Annales mathématiques Blaise Pascal
%D 2004
%P 41-46
%V 11
%N 1
%I Annales mathématiques Blaise Pascal
%U http://www.numdam.org/articles/10.5802/ambp.184/
%R 10.5802/ambp.184
%G en
%F AMBP_2004__11_1_41_0
Hatziafratis, Telemachos. On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of $\bar{\partial }$-closed $(n,n-1)$-forms. Annales mathématiques Blaise Pascal, Tome 11 (2004) no. 1, pp. 41-46. doi : 10.5802/ambp.184. http://www.numdam.org/articles/10.5802/ambp.184/

[1] Berndtsson, B.; Fornaess, J.E. Weighted integral formulas, Several Complex Variables (Proc. Mittag-Leffler Inst., 1987-88), Princeton Univ. Press (1993), pp. 160-187 | MR | Zbl

[2] Hatziafratis, T. Note on the Fourier-Laplace transform of ∂ ¯-cohomology classes, Zeitschrift für Analysis und ihre Anwendungen, Volume 17 (1998), pp. 907-915 | MR | Zbl

Cité par Sources :