Affiliation:
1. Department of Mathematics, California State University, Stanislaus 801 W. Monte Vista Avenue, Turlock, CA 95380, USA
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.
Subject
Mathematics (miscellaneous)
Cited by
24 articles.
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