The Traces of Holomorphic Functions on Real Submanifolds

DOI10.2307/1997733zbMath0398.32006OpenAlexW4242668818MaRDI QIDQ4183003

Gary A. Harris

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997733

zbMATH Keywords

Real-Analytic SubmanifoldHolomorphic ContinuationHolomorphic Trace ProblemReal-Analytic Function

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99) Holomorphic functions of several complex variables (32A10) Real-analytic manifolds, real-analytic spaces (32C05)

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A CR singular analogue of Severi's theorem ⋮ Codimension two CR singular submanifolds and extensions of CR functions ⋮ On Lewy extension for smooth hypersurfaces in ℂⁿ×ℝ ⋮ Segre nondegenerate totally real subvarieties ⋮ CR singular images of generic submanifolds under holomorphic maps

Cites Work

• When \(\varphi(f)\) convergent implies \(f\) is convergent
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