Geodesic
Explicit Carleman formulas for the Dolbeault cohomology in concave domains
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 406-416

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In 1999 M. Nacinovich et al. suggested an abstract method for constructing Carleman formulas for the Dolbeault complex. What has been lacking are simple and explicit examples. In this article we present a Carleman formula for Dolbeault cohomology classes given on a part of the boundary whose comlement is concave. As corollary we derive a uniqueness theorem for the Dolbeault cohomology.
Mots-clés : Carleman formula
Keywords: Dolbeault cohomology, analytic continuation. 
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     title = {Explicit {Carleman} formulas for the {Dolbeault} cohomology in concave domains},
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Ivan V. Shestakov. Explicit Carleman formulas for the Dolbeault cohomology in concave domains. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 406-416. http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a15/