\font\jeden=rsfs10 Let $\Cal H_{\mu }$ be the Zemanian space of Hankel transformable functions, and let $\Cal H'_{\mu }$ be its dual space. In this paper $\Cal H_{\mu }$ is shown to be nuclear, hence Schwartz, Montel and reflexive. The space $\text{\jeden O}$, also introduced by Zemanian, is completely characterized as the set of multipliers of $\Cal H_{\mu }$ and of $\Cal H'_{\mu }$. Certain topologies are considered on $\Cal O$, and continuity properties of the multiplication operation with respect to those topologies are discussed.
@article{118508,
author = {Jorge J. Betancor and Isabel Marrero},
title = {Multipliers of Hankel transformable generalized functions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {33},
year = {1992},
pages = {389-401},
zbl = {0801.46047},
mrnumber = {1209282},
language = {en},
url = {http://dml.mathdoc.fr/item/118508}
}
Betancor, Jorge J.; Marrero, Isabel. Multipliers of Hankel transformable generalized functions. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 389-401. http://gdmltest.u-ga.fr/item/118508/
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