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Multiplication by harmonic representations of distributions, introduced by Li Banghe, is an extension of a certain product by radial (rotationally symmetric) mollifiers and therefore a strict extension of the Kami'{n}ski and Colombeau product.

Multipliers of Hankel transformable generalized functions

Jorge J. Betancor, Isabel Marrero (1992)

Commentationes Mathematicae Universitatis Carolinae

Let $ℋ_{μ}$ be the Zemanian space of Hankel transformable functions, and let $ℋ_{μ}^{'}$ be its dual space. In this paper $ℋ_{μ}$ 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 $ℋ_{μ}$ and of $ℋ_{μ}^{'}$ . Certain topologies are considered on $𝒪$ , and continuity properties of the multiplication operation with respect to those topologies are discussed.

Multipliers of temperate distributions

Jan Kučera, Carlos Bosch (2005)

Mathematica Bohemica

Spaces $𝒪_{q}$ , $q \in ℕ$ , of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.

Multipliers on Schwartz spaces of some Lie groups

Thomas Ramsey, Yitzhak Weit (1987)

Colloquium Mathematicae

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