On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of $\bar{\partial }$-closed $(n,n-1)$-forms

Hatziafratis, Telemachos

doi:10.5802/ambp.184

On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of

\bar{\partial}

-closed

(n, n - 1)

-forms

Hatziafratis, Telemachos ¹

¹ University of Athens Department of Mathematics Panepistemiopolis Athens 15784 GREECE

Annales mathématiques Blaise Pascal, Tome 11 (2004) no. 1, pp. 41-46

Résumé

We give a proof of an integral formula of Berndtsson which is related to the inversion of Fourier-Laplace transforms of $\bar{\partial}$ -closed $(n, n - 1)$ -forms in the complement of a compact convex set in $ℂ^{n}$ .

MR Zbl

DOI : 10.5802/ambp.184

Affiliations des auteurs :

Hatziafratis, Telemachos ¹

¹ University of Athens Department of Mathematics Panepistemiopolis Athens 15784 GREECE

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     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},
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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, Tome 11 (2004) no. 1, pp. 41-46. doi: 10.5802/ambp.184

Bibliographie
Cité par

[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 | Zbl | MR

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

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