Best uniform approximation by analytic functions

DOI10.1007/BF02384810zbMath0248.30034MaRDI QIDQ2556512

Lennart Carleson, Sigvard Jacobs

Publication date: 1972

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Approximation in the complex plane (30E10) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

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Cites Work

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• On bounded bilinear forms
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• A problem in prediction theory
• On certain extremum problems for analytic functions
• Dual Extremum Problems in the Theory of Functions
• On the Dirichlet Series Associated with Ramanujan's τ-Function