Cauchy-Fantappiè-Leray formulas with local sections and the inverse Fantappiè transform

DOI10.24033/bsmf.2181zbMath0757.32008OpenAlexW2470495687MaRDI QIDQ4017133

Mats Andersson

Publication date: 16 January 1993

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1992__120_1_113_0

zbMATH Keywords

Fantappiè transformCauchy- Leray sectionsCauchy-Fantappiè-Leray representation

Mathematics Subject Classification ID

Stein spaces (32E10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items

Boundary behavior of extremal plurisubharmonic functions ⋮ Spiral connectedness of the sections and projections of \(\mathbb{C}\)-convex sets ⋮ Example of a strictly linear convex domain with nonrectifiable boundary ⋮ Complex mean-value interpolation and approximation of holomorphic functions ⋮ Positivity aspects of the Fantappiè transform ⋮ Quadratic convexity ⋮ Uniquely linearly convex support of an analytic functional

Cites Work

• Strong linear convexity. I: Duality of spaces of holomorphic functions
• A geometric criterion for strong linear convexity
• Uniform estimates for the \(\bar\partial\)-equation on domains with piecewise smooth strictly pseudoconvex boundaries
• Problémes sur les formes différentielles et les courants
• Polynomially and rationally convex sets
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