Interpolation sets for the algebra of generalized analytic functions

DOI10.3103/S1066369X07030073zbMath1167.43003MaRDI QIDQ2479667

A. R. Mirotin, M. A. Romanova

Publication date: 1 April 2008

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

semigrouppolynomial approximationcharactergeneralized analytic functioninterpolation setcompact Abelian group

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Moment problems and interpolation problems in the complex plane (30E05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items

The Shilov boundary and the Gelfand spectrum of algebras of generalized analytic functions ⋮ On the essential spectrum of \(\lambda\)-Toeplitz operators over compact abelian groups

Cites Work

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• Every invariant measure semigroup contains an ideal which is embeddable in a group
• Paley-Wiener theorem for cones in locally compact Abelian groups
• Generalized Analytic Functions
• Boundary Behavior of Generalized Analytic Functions
• The Boundary Integral of Log ∣φ∣ for Generalized Analytic Functions