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On Carleman formulas for the Dolbeault Cohomology |
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| Authors: | Mauro Nacinovich Bert-Wolfgang Schulze Nikolai Tarkhanov |
| Institution: | 1. Dipartimento di Matematica, Via F. Buonarroti 2, 56127, Pisa, Italy 2. Institut für Mathematik, Universit?t Potsdam, Postfach 60 15 53, 14415, Potsdam, Germany 3. Institute of Physics, Russian Academy of Sciences, Akademgorodok, 660036, Krasnovarsk, Russia |
| Abstract: | We discuss the Cauchy problem for the Dolbeault cohomology in a domain of C n 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. To the memory of Lamberto Cattabriga |
| Keywords: | primary: 32 F 20 secondary: 58 G 05 |
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