Journal of Siberian Federal University. Mathematics & Physics / Explicit Carleman Formulas for the Dolbeault Cohomology in Concave Domains

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics: 2011, Vol. 4, Issue 3
Authors
Shestakov, Ivan V.
Contact information
Shestakov, Ivan V. : e-mail:
Keywords
Carleman formula; Dolbeault cohomology; analytic continuation
Abstract

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.

Pages
406-416
Paper at repository of SibFU
http://elib.sfu-kras.ru/handle/2311/2431