A formula for the derivatives of holomorphic functions in \(\mathbb C^2\) in terms of certain integrals taken on boundaries of analytic varieties.

DOI10.1016/S0022-247X(03)00134-3zbMath1033.32003MaRDI QIDQ1399338

Telemachos E. Hatziafratis

Publication date: 30 July 2003

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

zbMATH Keywords

analytic functionalCauchy-Fantappiè integralresidue process

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Integration on analytic sets and spaces, currents (32C30)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Integral representation formulas on analytic varieties
• An integral formula for holomorphic functions on strictly pseudoconvex hypersurfaces
• On Certain Integrals Associated to CR-Functions

This page was built for publication: A formula for the derivatives of holomorphic functions in \(\mathbb C^2\) in terms of certain integrals taken on boundaries of analytic varieties.