Proceedings of the American Mathematical Society

Author(s): M. C. Gómez-Collado
Journal: Proc. Amer. Math. Soc. 129 (2001), 2319-2329.
MSC (2000): Primary 46F05
Posted: December 28, 2000
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46F05

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: 10.1090/S0002-9939-00-05806-8
PII: S 0002-9939(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
Posted: 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 of article: Copyright 2000, American Mathematical Society

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