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A note on spaces of absolutely convergent Fourier transforms

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Publication:488009
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DOI10.1007/S00041-014-9353-2zbMath1321.42023OpenAlexW2065388462MaRDI QIDQ488009

Björn G. Walther

Publication date: 23 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-014-9353-2


zbMATH Keywords

reflexivityabsolutely convergent Fourier transformsweak sequential completeness


Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Banach spaces of continuous, differentiable or analytic functions (46E15)





Cites Work

  • The Wiener algebra of absolutely convergent Fourier integrals: an overview
  • Weakly compact operators on operator algebras
  • On a property of the Fourier transform.
  • Shorter Notes: The Fourier Transform is Onto Only When the Group is Finite
  • The Fourier Transform is Onto Only When the Group is Finite
  • Representation of Functions as Absolutely Convergent Fourier-Stieltjes Transforms
  • On Functions Which are Fourier Transforms
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