A Morera type theorem for \(L^ 2\) functions in the Heisenberg group

DOI10.1007/BF03041073zbMath0773.32012MaRDI QIDQ1803642

Daniel Pascuas, Der-Chen E. Chang, Carlos. A. Berenstein, Mark L. Agranovsky

Publication date: 29 June 1993

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupMorera type theorem\(CR\) functions

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) General theory of automorphic functions of several complex variables (32N05)

Related Items

Injectivity of the Pompeiu transform in the Heisenberg group ⋮ Spherical means and CR functions on the Heisenberg group ⋮ Pompeiu problem on product of Heisenberg groups ⋮ Moment versions of the Morera problem in \(\mathbb C^n\) and \(\mathbb H^n\). ⋮ Morera theorems for complex manifolds

Cites Work

• Criteria of holomorphy in symmetric domains
• Analyticity and the Pompeiu problem
• A Test for Holomorphy in the Unit Ball of C n
• Offbeat Integral Geometry
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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