On holomorphic extension of \(CR\)-hyperfunctions to a fixed domain

DOI10.1007/BF02675941zbMath0944.32039OpenAlexW2038972040MaRDI QIDQ1972620

Irina A. Antipova, Aleksandr Mechislavovich Kytmanov

Publication date: 13 April 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02675941

zbMATH Keywords

Cauchy-Kovalevskaya theoremCauchy-Fantappiè kernelCauchy-Fantappiè transform

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Abstract harmonic analysis (43A99) Hyperfunctions (32A45) Extension of functions and other analytic objects from CR manifolds (32V25) CR functions (32V10)

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Cites Work

• On Levi's problem and the imbedding of real-analytic manifolds
• Boundary values of Dolbeault cohomology classes and a generalized Bochner-Hartogs theorem
• On holomorphic extension of hyperfunctions
• Harmonic duality, hyperfunctions and removable singularities
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