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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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Almost periodic ultradistributions of Beurling and of Roumieu type
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by M. C. Gómez-Collado PDF
Proc. Amer. Math. Soc. 129 (2001), 2319-2329 Request permission

Abstract:

We characterize the almost periodic ultradistributions of Beurling and of Roumieu type in terms of classical Bohr almost periodicity. Then we study the Fourier series associated with such an ultradistribution.
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Additional Information
  • M. C. Gómez-Collado
  • Affiliation: Departamento de Matemática Aplicada, E.T.S. Arquitectura, Camino de Vera, E-46071 Valencia, Spain
  • Email: cgomezc@mat.upv.es
  • Received by editor(s): August 17, 1999
  • Received by editor(s) in revised form: November 30, 1999
  • Published electronically: December 28, 2000
  • Additional Notes: The author thanks C. Fernández and A. Galbis for guidance and encouragement during the preparation of her thesis, of which this work forms a part.
  • Communicated by: Dale Alspach
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2319-2329
  • MSC (2000): Primary 46F05
  • DOI: https://doi.org/10.1090/S0002-9939-00-05806-8
  • MathSciNet review: 1823915