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On holomorphic approximation in weakly pseudoconvex domains

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Publication:1152005
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DOI10.2140/pjm.1980.89.249zbMath0459.32004OpenAlexW2027076161MaRDI QIDQ1152005

R. Michael Range, Frank jun. Beatrous

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.89.249


zbMATH Keywords

holomorphic extensionpseudoconvex domainapproximation theoremsstrictly pseudoconvex boundary points


Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) 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)


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Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ -APPROXIMATION OF HOLOMORPHIC FUNCTIONS ON A CLASS OF CONVEX DOMAINS ⋮ Normed domains of holomorphy ⋮ Nebenhülle and the Gleason problem ⋮ Holomorphic approximation on compact pseudoconvex complex manifolds



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