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A counterexample in \(H^{\infty}+BUC\)

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Publication:801187
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DOI10.1215/S0012-7094-84-05124-XzbMath0551.30038WikidataQ124811034 ScholiaQ124811034MaRDI QIDQ801187

C.-E. Sundberg

Publication date: 1984

Published in: Duke Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

entire function of exponential typeinner functionstrongly mixing stationary Gaussian process


Mathematics Subject Classification ID

Prediction theory (aspects of stochastic processes) (60G25) Miscellaneous topics of analysis in the complex plane (30E99)


Related Items

On the regularity of spectral densities of continuous-time completely linearly regular processes



Cites Work

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  • \(H^{\infty}+BUC\) does not have the best approximation property
  • The spectral density of a strongly mixing stationary Gaussian process
  • Two algebras of bounded functions
  • A characterization of Douglas subalgebras
  • Subalgebras of \(L^\infty\) containing \(H^\infty\)
  • Interpolating Sequences for QA B
  • Functions of Vanishing Mean Oscillation
  • Structure of Subalgebras Between L ∞ and H ∞
  • Analyticity of Functions and Subalgebras of L ∞ Containing H ∞
  • Hankel operators, best approximations, and stationary Gaussian processes
  • Generalized Interpolation in H ∞
  • Past and Future
  • Algebras of functions on the unit circle
  • A constructive proof of the Chang-Marshall theorem
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