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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Invariant subspaces of the maximal domain of the Fourier transform
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by Gilbert Muraz and Pawel Szeptycki PDF
Proc. Amer. Math. Soc. 125 (1997), 3275-3278 Request permission

Abstract:

Translation invariant subspaces of the maximal domain of the Fourier transform (the amalgam of $l^2$ with $L^1$) are characterised: it turns out that in this case all measurable subsets of the dual space are sets of spectral synthesis.
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Additional Information
  • Gilbert Muraz
  • Affiliation: Department of Mathematics, Institut Fourier–Grenoble, UFR-UMR 5582, BP 74, 38402 St. Martin d’Heres Cedex, France
  • Email: muraz@fourier.ujf-grenoble.fr
  • Pawel Szeptycki
  • Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
  • Email: szeptycki@kuhub.cc.ukans.edu
  • Received by editor(s): August 29, 1995
  • Received by editor(s) in revised form: May 20, 1996
  • Additional Notes: Supported in part by the General Research Fund, University of Kansas
  • Communicated by: J. Marshall Ash
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 3275-3278
  • MSC (1991): Primary 42A38, 43A30
  • DOI: https://doi.org/10.1090/S0002-9939-97-03973-7
  • MathSciNet review: 1402877