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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A characterization of the Hilbert transform
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by Nicola Arcozzi and Luigi Fontana PDF
Proc. Amer. Math. Soc. 126 (1998), 1747-1749 Request permission

Abstract:

In this note the Hilbert transform is characterized in terms of function algebras with respect to pointwise multiplication.
References
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  • T.S. Gokhberg, N. Ya. Krupnik, Norm of the Hilbert tranformation in the $L^p$ space, Func. An. and its Appl, 1968, pp. 180-1.
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Additional Information
  • Nicola Arcozzi
  • Affiliation: Università di Milano, Dipartimento di Matematica, “Federico Enriques", Via C. Saldini, 50, 20133 Milano, Italy
  • MR Author ID: 606003
  • Email: arcozzi@mat.unimi.it
  • Luigi Fontana
  • Affiliation: Università di Milano, Dipartimento di Matematica, “Federico Enriques", Via C. Saldini, 50, 20133 Milano, Italy
  • Email: fontana@mat.unimi.it
  • Received by editor(s): August 20, 1996
  • Received by editor(s) in revised form: December 1, 1996
  • Communicated by: J. Marshall Ash
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 1747-1749
  • MSC (1991): Primary 42A50
  • DOI: https://doi.org/10.1090/S0002-9939-98-04214-2
  • MathSciNet review: 1443810