Periodic Boehmians

Dennis Nemzer

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-8

Abstract:

A class of generalized functions, called periodic Boehmians, on the unit circle, is studied. It is shown that the class of Boehmians contain all Beurling distributions. An example of a hyperfunctlon 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.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:473652

DOI: 10.1155/S0161171289000840

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