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Mittag-Leffler type expansions; $\bar{\partial}$-closed forms; Bochner-Martinelli kernel
In this paper we will prove a Mittag-Leffler type theorem for $\bar{\partial}$-closed $(0,n-1)$-forms in $\Bbb C^n$ by addressing the question of constructing such differential forms with prescribed periods in certain domains.
[1] Hatziafratis T.: On a class of $\bar{\partial}$-equations without solutions. Comment. Math. Univ. Carolinae 39.3 (1998), 503-509. MR 1666762
[2] Hatziafratis T.: Note on the Fourier-Laplace transform of $\bar{\partial}$-cohomology classes. Z. Anal. Anwendungen 17 (1998), 907-915. DOI 10.4171/ZAA/858 | MR 1669921
[3] Hatziafratis T.: Expansions of certain $\bar{\partial}$-closed forms via Fourier-Laplace transform. preprint.
[4] Hörmander L.: An Introduction to Complex Analysis in Several Variables. North-Holland, Amsterdam, 1990. MR 1045639
[5] Krantz S.: Function Theory of Several Complex Variables. Wadsworth & Brooks/Cole, California, 1992. MR 1162310 | Zbl 1087.32001
[6] Range R.M.: Holomorphic Functions and Integral Representations in Several Complex Variables. Springer-Verlag, New York, 1986. MR 0847923 | Zbl 0591.32002
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