Nacinovich, Mauro On a theorem of Airapetyan and Henkin. (English) Zbl 0747.32011 Semin. Geom., Univ. Studi Bologna 1988-1991, 99-135 (1991). The aim of this paper is to give a survey of some results and techniques that the author developed in the last years for the study of the tangential Cauchy-Riemann complex and that are alternative to the use of Henkin-Ramirez kernels, which apparently dominate complex analysis nowadays.Contents: Introduction.§1. Mayer-Vietoris exact sequences. A. Whitney sections. B. Differential complexes. C. Rough Mayer-Vietoris sequences with supports. C’. Duality between the two Mayer-Vietoris sequences on functions. D. Mayer-Vietoris sequences with supports for distributions. E. Extensible distributions. F. Duality between the Mayer-Vietoris sequences for distributions. G. Spectral sequence.§2. Some results on Partial Differential Equations with constant coefficients.§3. Analytic continuation of CR-functions and CR-forms. Cited in 3 Documents MSC: 32W05 \(\overline\partial\) and \(\overline\partial\)-Neumann operators 32-02 Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces 35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs 32F10 \(q\)-convexity, \(q\)-concavity Keywords:tangential Cauchy-Riemann complex; Mayer-Vietoris sequences; CR-functions PDFBibTeX XMLCite \textit{M. Nacinovich}, Semin. Geom., Univ. Studi Bologna 1988, 99--135 (1991; Zbl 0747.32011)