Annales Mathématiques
Blaise Pascal
no. 1
On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of ∂ ¯-closed (n,n-1)-forms
Telemachos Hatziafratis1
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

Telemachos Hatziafratis 1

1 University of Athens Department of Mathematics Panepistemiopolis Athens 15784 GREECE 
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Telemachos Hatziafratis. 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. https://ambp.centre-mersenne.org/articles/10.5802/ambp.184/

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

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

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