On Certain Integrals Associated to CR-Functions
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Publication:4731447
DOI10.2307/2001408zbMath0682.32002OpenAlexW4251035073MaRDI QIDQ4731447
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2001408
integral representationsCauchy-Fantappiè formstangential Cauchy- Riemann equationholomorphic extendability of smooth CR-functions
Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Residues for several complex variables (32A27)
Related Items (4)
On the removable singularities of CR functions given on a generic manifold ⋮ A formula for the derivatives of holomorphic functions in \(\mathbb C^2\) in terms of certain integrals taken on boundaries of analytic varieties. ⋮ Fourier-Laplace transforms and related questions on certain analytic varieties in \(\mathbb C^2\) ⋮ On the multiplicity of holomorphic maps and a residue formula
Cites Work
- An extension theorem for the CR-functions
- Integral representation formulas on analytic varieties
- A theorem on holomorphic extension of CR-functions
- Holomorphic continuation in several complex variables
- An integral formula for holomorphic functions on strictly pseudoconvex hypersurfaces
- Analytic continuation and boundary continuity of functions of several complex variables
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