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Associative algebra of generalized functions closed with respect to differentiation and integration
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 305-309 Cet article a éte moissonné depuis la source Math-Net.Ru

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An associative algebra of generalized functions including the $\delta$ function and also functionals of a new type which are nonzero on the $\delta$ function and its derivatives is constructed. Involution, differentiation, and integration are defined in the algebra. It can be used to construct new strongly singular potentials and also in the Hamiltonian formulation of local quantum field theory. 
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     title = {Associative algebra of generalized functions closed with respect to differentiation and integration},
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G. K. Tolokonnikov; Yu. M. Shirokov. Associative algebra of generalized functions closed with respect to differentiation and integration. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 305-309. http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a2/

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