Periodic Boehmians (Q1812826)

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scientific article; zbMATH DE number 4355
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Periodic Boehmians
scientific article; zbMATH DE number 4355

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    Periodic Boehmians (English)
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    25 June 1992
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    Summary: A class of generalized functions, called periodic Boehmians, on the unit circle, is studied. It is shown that the class of Boehmians contains all Beurling distributions. An example of a hyperfunction that is not a Boehmian is given. Some growth conditions on the Fourier coefficients of a Boehmian are given. It is shown that the Boehmians, with a given complete metric topological vector space topology, is not locally bounded.
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    periodic Boehmians
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    class of Boehmians contains all Beurling distributions
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    example of a hyperfunction that is not a Boehmian
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    growth conditions on the Fourier coefficients of a Boehmian
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    complete metric topological vector space topology
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    delta sequence
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