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Multiplication of distributions

Volker Boie (1998)

Commentationes Mathematicae Universitatis Carolinae

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 μ be the Zemanian space of Hankel transformable functions, and let μ ' be its dual space. In this paper 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 μ and of 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 , of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.

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