Geodesic
Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral
Publications de l'Institut Mathématique, _N_S_52 (1992) no. 66, p. 95 .

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We investigate subspaces of Colombeau's generalized function space and the generalized integrals in these spaces. The obtained results enable us to study, in the second part of the paper, the generalized convolutions and the Fourier transform in these spaces.
Classification : 46F05 
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     author = {Marko Nedeljkov and Stevan Pilipovi\'c},
     title = {Convolution in {Colombeau's} {Spaces} of {Generalized} {Functions;} {Part} {I:} the {Space} {Ga} and the {A-integral}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {1992},
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Marko Nedeljkov; Stevan Pilipović. Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral. Publications de l'Institut Mathématique, _N_S_52 (1992) no. 66, p. 95 . http://geodesic.mathdoc.fr/item/PIM_1992_N_S_52_66_a14/