Geodesic
Multipliers of Hankel transformable generalized functions
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 389-401 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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\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.
\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.
Classification : 44A05, 46A11, 46F10, 46F12
Keywords: multipliers; generalized functions; Hankel transformation 
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     title = {Multipliers of {Hankel} transformable generalized functions},
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Betancor, J. J.; Marrero, I. Multipliers of Hankel transformable generalized functions. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 389-401. http://geodesic.mathdoc.fr/item/CMUC_1992_33_3_a2/

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