EUDML | The spaces and are ultrabornological. A new proof.

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Displaying similar documents to “The spaces $𝒪_{M}$ and $𝒪_{C}$ are ultrabornological. A new proof.”

A note on the spaces $𝒪_{M}$ and $𝒪_{M}^{'}$ .

Bosch, Carlos, Kučera, Jan (1988)

International Journal of Mathematics and Mathematical Sciences

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Dual characterization of the Dieudonné-Schwartz theorem on bounded sets.

Bosch, C., Kučera, J., McKennon, K. (1983)

International Journal of Mathematics and Mathematical Sciences

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On multipliers of temperate distributions

Jan Kučera (1971)

Czechoslovak Mathematical Journal

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On distributions of rapid growth

Abdullah, Saleh (1990)

Portugaliae mathematica

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A space of generalized distributions

L. Loura (2006)

Czechoslovak Mathematical Journal

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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.