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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 5, Pages 1117–1151
DOI: https://doi.org/10.1070/IM1972v006n05ABEH001913 (Mi im2347) 		 
This article is cited in 180 scientific papers (total in 180 papers)

Covariant and contravariant symbols of operators

F. A. Berezin
English version PDF (1302 kB) Citations (180) Russian version article
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DOI: https://doi.org/10.1070/IM1972v006n05ABEH001913
Abstract: We consider the covariant and contravariant symbols of operators that are a generalization of the Wick and anti-Wick symbols introduced earlier. With the help of these symbols we investigate the spectral characteristics of operators, and construct a method of successive approximations to calculate the exponential of an operator. In an application to anti-Wick symbols this method provides a basis of one of the variants of the Feynman functional integral along trajectories in phase space.
Received: 11.02.1972
Bibliographic databases:
UDC: 517.9
MSC: Primary 47A10; Secondary 35P20, 35S15, 47F05, 47G05
Language: English
Original paper language: Russian
Citation: F. A. Berezin, “Covariant and contravariant symbols of operators”, Math. USSR-Izv., 6:5 (1972), 1117–1151
Citation in format AMSBIB
\Bibitem{Ber72}
\by F.~A.~Berezin
\paper Covariant and contravariant symbols of operators
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 5
\pages 1117--1151
\mathnet{http://mi.mathnet.ru//eng/im2347}
\crossref{https://doi.org/10.1070/IM1972v006n05ABEH001913}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=350504}
\zmath{https://zbmath.org/?q=an:0247.47019}
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    • This publication is cited in the following 180 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1831
    Russian version PDF:497
    English version PDF:65
    References:128
    First page:1
     
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