Extension operators for real analytic functions on compact subvarieties of

DOI10.1515/CRELLE.2007.042zbMath1133.46014OpenAlexW2045925481MaRDI QIDQ5421667

Dietmar Vogt

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2007.042

zbMATH Keywords

extension operatorreal analytic functionreal analytic varietyPhragmen-Lindelöf condition

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (3)

A new characterization of the analytic surfaces in \(\mathbb C^{3}\) that satisfy the local Phragmén-Lindelöf condition ⋮ The coherence of complemented ideals in the space of real analytic functions ⋮ Real analytic parameter dependence of solutions of differential equations

Cites Work

• Continuous linear division and extension of \(C^\infty\) functions
• The Levi problem on complex spaces with singularities
• On the existence of real analytic solutions of partial differential equations with constant coefficients
• A tame splitting theorem for exact sequences of Fréchet spaces
• Extremal plurisubharmonic functions of linear growth on algebraic varieties
• Sur la topologie des espaces de fonctions holomorphes
• Interpolation of Vector-Valued Real Analytic Functions
• Phragmén-Lindelöf principles on algebraic varieties
• The geometry of analytic varieties satisfying the local Phragmén-Lindelöf condition and a geometric characterization of the partial differential operators that are surjective on $\mathcal \{A\}(\mathbb \{R\}^4)$
• Parameter dependence of solutions of partial differential equations in spaces of real analytic functions

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