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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 46, Number 3, Pages 305–309 (Mi tmf2334)  

This article is cited in 3 scientific papers (total in 3 papers)

Associative algebra of generalized functions closed with respect to differentiation and integration

G. K. Tolokonnikov, Yu. M. Shirokov
Full-text PDF (615 kB) Citations (3)
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Abstract: 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.
Received: 18.03.1980
English version:
Theoretical and Mathematical Physics, 1981, Volume 46, Issue 3, Pages 200–203
DOI: https://doi.org/10.1007/BF01032726
Bibliographic databases:
Language: Russian
Citation: G. K. Tolokonnikov, Yu. M. Shirokov, “Associative algebra of generalized functions closed with respect to differentiation and integration”, TMF, 46:3 (1981), 305–309; Theoret. and Math. Phys., 46:3 (1981), 200–203
Citation in format AMSBIB
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\by G.~K.~Tolokonnikov, Yu.~M.~Shirokov
\paper Associative algebra of generalized functions closed with respect to differentiation and integration
\jour TMF
\yr 1981
\vol 46
\issue 3
\pages 305--309
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=622510}
\zmath{https://zbmath.org/?q=an:0464.46038|0479.46022}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 46
\issue 3
\pages 200--203
\crossref{https://doi.org/10.1007/BF01032726}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MN84000003}
Linking options:
  • https://www.mathnet.ru/eng/tmf2334
  • https://www.mathnet.ru/eng/tmf/v46/i3/p305
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:452
    Full-text PDF :169
    References:41
    First page:1
     
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