Geodesic
Construction of Mikusinski operational calculus based on the convolution algebra of distributions. Basic provisions
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2012), pp. 44-52

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The main provisions of the operational calculus based on the convolution algebra of distributions $D_{+}'$ and $D_{-}'$ that extends this method to the negative values of the argument are given. The relation between the proposed method and the classical operational calculus built on the Laplace transform is provided.
Keywords: calculus of Mikusinski, space of distributions
Mots-clés : convolution of distributions, convolution algebra, Laplace transform. 
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     author = {I. L. Kogan},
     title = {Construction of {Mikusinski} operational calculus based on the convolution algebra of distributions. {Basic} provisions},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
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I. L. Kogan. Construction of Mikusinski operational calculus based on the convolution algebra of distributions. Basic provisions. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2012), pp. 44-52. http://geodesic.mathdoc.fr/item/VSGTU_2012_2_a4/