Multipliers of Hankel transformable generalized functions
نویسندگان
چکیده
Let Hμ be the Zemanian space of Hankel transformable functions, and let H′μ be its dual space. In this paper Hμ is shown to be nuclear, hence Schwartz, Montel and reflexive. The space O, also introduced by Zemanian, is completely characterized as the set of multipliers of Hμ and of H′μ. Certain topologies are considered on O, and continuity properties of the multiplication operation with respect to those topologies are discussed.
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