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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdŕ (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Ličge, Belgium)

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Almost periodic ultradistributions of Beurling and of Roumieu type
by
M. C. Gómez-Collado
Universidad Politécnica de Valencia

We characterize the almost periodic ultradistributions of Beurling and Roumieu type in terms of classical Bohr almost periodicity. Then we study the Fourier series associated with this type of ultradistribution. Almost periodic ultradistributions of Beurling type were studied by Cioranescu [1] in the context of ultradistributions as they were introduced by Komatsu, with the strong non-quasianalytic condition on the defining sequence. Our characterizations extend these results. Moreover we study the Roumieu case that Cioranescu did not cover.

References:

[1] I. Cioranescu, The characterization of the almost periodic ultradistributions of Beurling type, Proc. Amer. Math. Soc. 116, 1, (1992), 127-134.

We report on research done under the advice of C. Fernández and A. Galbis.

(P)

Date received: April 13, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caey-26.