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Almost periodic ultradistributions of Beurling and of Roumieu type


Author: M. C. Gómez-Collado
Journal: Proc. Amer. Math. Soc. 129 (2001), 2319-2329
MSC (2000): Primary 46F05
DOI: https://doi.org/10.1090/S0002-9939-00-05806-8
Published electronically: December 28, 2000
MathSciNet review: 1823915
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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

DOI: https://doi.org/10.1090/S0002-9939-00-05806-8
Keywords: Bounded ultradistributions, almost periodic ultradistributions
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
Article copyright: © Copyright 2000 American Mathematical Society