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The characterization of the almost periodic ultradistributions of Beurling type


Author: Ioana Cioranescu
Journal: Proc. Amer. Math. Soc. 116 (1992), 127-134
MSC: Primary 46F05; Secondary 46F10
MathSciNet review: 1111214
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Abstract: We introduce and study the space of almost periodic ultradistributions of Beurling type and characterize it in terms of classical Bohr almost periodicity. To this aim we establish a structure theorem for the bounded ultradistributions.

Application is made to the Dirichlet Problem for the half plane with almost periodic untradistributional boundary values.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1111214-5
Article copyright: © Copyright 1992 American Mathematical Society