On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of $\overline{\partial }$-closed $\left(n,n-1\right)$-forms
Annales mathématiques Blaise Pascal, Volume 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 $\overline{\partial }$-closed $\left(n,n-1\right)$-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
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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, Volume 11 (2004) no. 1, pp. 41-46. doi : 10.5802/ambp.184. http://archive.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) (1993), pp. 160-187 | MR | Zbl

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

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