The spaces  and  are ultrabornological. A new proof.

In this paper we use a duality method to introduce a new space of generalized distributions. This method is exactly the same introduced by Schwartz for the distribution theory. Our space of generalized distributions contains all the Schwartz distributions and all the multipole series of physicists and is, in a certain sense, the smallest space containing all these series.

The multiplication functions of Kučera

Kelly McKennon (1979)

Czechoslovak Mathematical Journal

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Convergence in spaces of rapidly increasing distributions.

Abdullah, Saleh (1994)

Portugaliae Mathematica

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