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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Analytic functionals with unbounded carriers and mean periodic functions
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by Alex Meril
Trans. Amer. Math. Soc. 278 (1983), 115-136
DOI: https://doi.org/10.1090/S0002-9947-1983-0697064-1
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Abstract:

We study certain ideals in some spaces of analytic functionals with unbounded carriers introduced by T. Kawaï, M. Morimoto and J. W. de Roever. Using Banach algebra methods, we show an example of space without spectral synthesis. Using Hörmander’s ${L^2}$ estimates, we prove a spectral synthesis theorem for mean periodic functions.
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Bibliographic Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 278 (1983), 115-136
  • MSC: Primary 46F15; Secondary 30H05, 32A07, 32A10
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0697064-1
  • MathSciNet review: 697064