Algebra of analytic functions continuous on a sphere with a perfect set of singularities, and polynomial approximation on dense compacta in \(\mathbb{C}^n\)
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Publication:1230885
DOI10.1007/BF01084930zbMath0339.32009OpenAlexW2084279307MaRDI QIDQ1230885
Publication date: 1976
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01084930
Ideals, maximal ideals, boundaries (46J20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38)
Cites Work
- Maximality of the algebra of functions continuous on the extended complex plane and analytic in the complement of a completely discontinuous compactum
- Example of a thick polynomially convex compact subset of space C\(^2\), with connected interior, on which not every continuous function analytic at interior points is uniformly approximable by polynomials
- Relatively maximal function algebras generated by polynomials on compact sets in the complex plane
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