## J.J. Betancor, I. Marrero

*Multipliers of Hankel transformable generalized functions *

Comment.Math.Univ.Carolinae 33,3 (1992) 389-402. **Abstract:**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 $\Cal O$, 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.

**Keywords:** multipliers, generalized functions, Hankel transformation

**AMS Subject Classification:** Primary 46F12

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