On peak-interpolation manifolds for 𝐴(Ω) for convex domains in ℂ^{𝕟}

DOI10.1090/S0002-9947-04-03705-5zbMath1049.32034arXivmath/0203050MaRDI QIDQ4811901

Gautam Bharali

Publication date: 6 September 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203050

zbMATH Keywords

pseudoconvex domainfinite type domainreal-analytic boundarystrictly convex domainlocal stratificationcomplex-tangential submanifoldpeak-inter\-po\-la\-tion set

Mathematics Subject Classification ID

Analytic continuation (32D99) Finite-type domains (32T25) Analytic subsets and submanifolds (32C25) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (1)

A Rudin-Carleson theorem for planar vector fields

Cites Work

• Boundary invariants of pseudoconvex domains
• Real hypersurfaces, orders of contact, and applications
• On `type' conditions for generic real submanifolds of \(\mathbb{C}^n\)
• Smooth zero sets and interpolation sets for some algebras of holomorphic functions on strictly pseudoconvex domains
• Peak-interpolation sets of class \(C^1\)
• Convex domains of finite type
• A General Rudin-Carleson Theorem
• Local Boundary Behavior of Bounded Holomorphic Functions
• Sur le problème de la division

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