Ensembles pics dans des domaines strictement pseudo-convexes

DOI10.1215/S0012-7094-78-04527-1zbMath0402.32008OpenAlexW1965456200MaRDI QIDQ1255611

Nessim Sibony, Monique Hakim

Publication date: 1978

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-78-04527-1

zbMATH Keywords

Pseudoconvex DomainAlgebra of Analytic FunctionsPeakReal Subvariety

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38) Pseudoconvex domains (32T99)

Related Items (18)

Ensembles de zéros et d'interpolation à la frontière de domaines strictement pseudoconvexes. (Zero sets and interpolation on the boundary of strictly pseudoconvex domains) ⋮ Local peak sets in weakly pseudoconvex boundaries in \(\mathbb C^{n}\) ⋮ Peak curves in weakly pseudoconvex boundaries in \(\mathbb{C}^2\) ⋮ Characterization of global peak sets for \(A^\infty\)(D) ⋮ Traces on curves of Sobolev spaces of holomorphic functions ⋮ Maximum modulus sets in pseudoconvex boundaries ⋮ Unnamed Item ⋮ Local peak sets in weakly pseudoconvex boundaries in \(\mathbb C^n\) ⋮ Maximum modulus sets and reflection sets ⋮ Ensembles pics pour \(A^\infty(D)\) ⋮ A characterization of totally real generic submanifolds of strictly pseudoconvex boundaries in \({\mathbb{C}}^ n\) admitting a local foliation by interpolation submanifolds ⋮ Peak sets in pseudoconvex domains with the (NP)-property ⋮ Closed finitely generated ideals in algebras of holomorphic functions and smooth to the boundary in strictly pseudoconvex domains ⋮ Interpolation in weakly pseudoconvex domains in \({\mathbb{C}}^ 2\) ⋮ Peak sets in weakly pseudoconvex domains ⋮ Properties of peak sets in weakly pseudoconvex boundaries in \({\mathbb{C}}^ 2\) ⋮ Ensembles pics pour \(A^{\infty}(D)\) non globalement inclus dans une variété integrale ⋮ Interpolation by holomorphic functions smooth to the boundary in the unit ball of \({\mathbb{C}}^ n\)

This page was built for publication: Ensembles pics dans des domaines strictement pseudo-convexes