Abbreviated Journal Title
Rocky Mt. J. Math.
Keywords
generalized functions; Boehmians; TEMPERED BOEHMIANS; Mathematics
Abstract
Spaces of Boehmians are equipped with a topology defined in a canonical way, but properties of that topology can differ significantly for different spaces of Boehmians. First we discuss an example of a space of Boehmians with trivial dual space. Then we show that the space of periodic Boehmians has a nontrivial dual space, but the topology is not locally convex. Finally, we give an example of a space of Boehmians that is a locally convex space.
Journal Title
Rocky Mountain Journal of Mathematics
Volume
35
Issue/Number
3
Publication Date
1-1-2005
Document Type
Article
Language
English
First Page
727
Last Page
740
WOS Identifier
ISSN
0035-7596
Recommended Citation
Burzyk, Józef; Mikusinski, Piotr; and Nemzer, Dennis, "Remarks on topological properties of Boehmians" (2005). Faculty Bibliography 2000s. 5023.
https://stars.library.ucf.edu/facultybib2000/5023
Comments
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