Coleff–Herrera Currents Revisited

DOI10.1007/978-88-470-1947-8_21zbMath1247.32009OpenAlexW1542227733MaRDI QIDQ2905014

Alekos Vidras, Alain Yger

Publication date: 24 August 2012

Published in: The Mathematical Legacy of Leon Ehrenpreis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-88-470-1947-8_21

zbMATH Keywords

residue currentsColeff-Herrera currentsintegration currents

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)

Related Items (2)

Bergman-Weil expansion for holomorphic functions ⋮ Averaging Residue Currents and the Stückrad–Vogel Algorithm

Cites Work

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• Bernstein-Sato's polynomial for several analytic functions
• The analytic continuation of generalized functions with respect to a parameter
• Various approaches to products of residue currents
• Uniqueness and factorization of Coleff-Herrera currents
• Théorie des résidus de Leray et formes de Barlet sur une intersection complète singulière
• Coleff-Herrera currents, duality, and noetherian operators
• Regularizations of residue currents
• Decomposition of residue currents
• Residue currents with prescribed annihilator ideals
• Numerical control over complex analytic singularities
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)

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