Displaying similar documents to “Silva distributions for certain locally compact groups.”

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.

Locally realcompact and HN-complete spaces

David Buhagiar, Emmanuel Chetcuti (2007)

Commentationes Mathematicae Universitatis Carolinae

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Two classes of spaces are studied, namely locally realcompact spaces and HN-complete spaces, where the latter class is introduced in the paper. Both of these classes are superclasses of the class of realcompact spaces. Invariance with respect to subspaces and products of these spaces are investigated. It is shown that these two classes can be characterized by demanding that certain equivalences hold between certain classes of Baire measures or by demanding that certain classes of Baire...