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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 2(27), Pages 44–52
DOI: https://doi.org/10.14498/vsgtu1013 (Mi vsgtu1013) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Analysis

Construction of Mikusinski operational calculus based on the convolution algebra of distributions. Basic provisions

I. L. Kogan

Russian State Agrarian University – Moscow Agricultural Academy after K. A. Timiryazev, Moscow, Russia
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DOI: https://doi.org/10.14498/vsgtu1013
Abstract: 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, convolution of distributions, convolution algebra, Laplace transform.
Original article submitted 18/X/2011
revision submitted – 22/III/2012
Bibliographic databases:
Document Type: Article
UDC: 517.982.45
MSC: Primary 44A40; Secondary 46T30
Language: Russian
Citation: I. L. Kogan, “Construction of Mikusinski operational calculus based on the convolution algebra of distributions. Basic provisions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(27) (2012), 44–52
Citation in format AMSBIB
\Bibitem{Kog12}
\by I.~L.~Kogan
\paper Construction of Mikusinski operational calculus based on the convolution algebra of distributions. Basic provisions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 2(27)
\pages 44--52
\mathnet{http://mi.mathnet.ru/vsgtu1013}
\crossref{https://doi.org/10.14498/vsgtu1013}
\zmath{https://zbmath.org/?q=an:1326.44004}
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  • https://www.mathnet.ru/eng/vsgtu/v127/p44
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