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A space of generalized distributions
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 543-558
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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.
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.
Classification : 46F05
Keywords: distributions; generalized distributions; multipole series 
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Loura, L. A space of generalized distributions. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 543-558. http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a19/

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