International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 4, Pages 685-692
doi:10.1155/S0161171289000840
Periodic Boehmians
Dennis Nemzer
Department of Mathematics, California State University, Stanislaus 801 W. Monte Vista Avenue, Turlock 95380, CA, 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.