On Bases in the Disc Algebra

DOI10.2307/1999476zbMath0574.46040OpenAlexW4245551251MaRDI QIDQ3694075

Jean Bourgain

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999476

zbMATH Keywords

Fourier seriesHaar measuredisc algebraHilbertian basisbiorthogonal sequenceBesselian basiscompletion of the space of analytic polynomials on the circleH-valued martingale

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces (42B30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Several remarks on the norms of linear polynomial operators ⋮ On approximations for functions in the space of uniformly convergent Fourier series

Cites Work

• New Banach space properties of the disc algebra and \(H^{\infty}\)
• Bases and biorthogonal systems in the spaces \(C\) and \(L^1\)
• Nonexistence of Besselian basis in C(S)
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