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We discuss the Cauchy problem for the Dolbeault cohomology in a domain of Cn with data on a part of the boundary. In this setting we introduce the concept of a Carleman function which proves useful in the study of uniqueness. Apart from an abstract framework we show explicit Carleman formulas for the Dolbeault cohomology.
ANNALI DELL UNIVERSITA DI FERRARA – Springer Journals
Published: Jan 1, 1999
Keywords: primary: 32 F 20; secondary: 58 G 05
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