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TMF, 1995, Volume 103, Number 2, Pages 233–245 (Mi tmf1298)  

Noncommutative analog of functional superanalysis

A. Yu. Khrennikov

Moscow State Institute of Electronic Technology (Technical University)

Abstract: A noncommutative analysis being a natural extension of the superanalysis by Vladimirov and Volovich is constructed (instead of supercommutative Banach algebras arbitrary noncommutative Banach algebras are considered). Based on this analysis the noncommutative theory of distributions is developed. It can be applied further to Feynman integration. As the noncommutative algebras one can use the Weil and the Clifford algebras and also another algebras of quantum observables.

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English version:
Theoretical and Mathematical Physics, 1995, 103:2, 525–534

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Received: 02.06.1994

Citation: A. Yu. Khrennikov, “Noncommutative analog of functional superanalysis”, TMF, 103:2 (1995), 233–245; Theoret. and Math. Phys., 103:2 (1995), 525–534

Citation in format AMSBIB
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\by A.~Yu.~Khrennikov
\paper Noncommutative analog of functional superanalysis
\jour TMF
\yr 1995
\vol 103
\issue 2
\pages 233--245
\mathnet{http://mi.mathnet.ru/tmf1298}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1470944}
\zmath{https://zbmath.org/?q=an:0860.46029}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 2
\pages 525--534
\crossref{https://doi.org/10.1007/BF02274029}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1995TD56100004}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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