Fourier-Laplace transforms and related questions on certain analytic varieties in \(\mathbb C^2\)

DOI10.1016/J.JMAA.2004.12.052zbMath1069.32013OpenAlexW2038834356MaRDI QIDQ1773325

Telemachos E. Hatziafratis

Publication date: 28 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.052

zbMATH Keywords

holomorphic functionsholomorphic differentialsanalytic varietiesresidue processCauchy-Fantappiè type formulaFourier-Laplace transform of holomorphic differentialsMittag-Leffler type constructionweighted periods

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Fourier integral operators applied to PDEs (35S30) Complex manifolds as subdomains of Euclidean space (32Q35) Residues for several complex variables (32A27)

Related Items (1)

Hartogs extension theorems on Stein spaces

Cites Work

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• Integral representation formulas on analytic varieties
• An integral formula for holomorphic functions on strictly pseudoconvex hypersurfaces
• A formula for the derivatives of holomorphic functions in \(\mathbb C^2\) in terms of certain integrals taken on boundaries of analytic varieties.
• On Certain Integrals Associated to CR-Functions

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