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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 174 scientific papers (total in 174 papers)

Covariant and contravariant symbols of operators

F. A. Berezin
English version PDF (1302 kB) Citations (174)
References:
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1972, Volume 36, Issue 5, Pages 1134–1167
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”, Izv. Akad. Nauk SSSR Ser. Mat., 36:5 (1972), 1134–1167; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1972
\vol 36
\issue 5
\pages 1134--1167
\mathnet{http://mi.mathnet.ru/im2347}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=350504}
\zmath{https://zbmath.org/?q=an:0247.47019}
\transl
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 5
\pages 1117--1151
\crossref{https://doi.org/10.1070/IM1972v006n05ABEH001913}
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    • This publication is cited in the following 174 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1749
    Russian version PDF:482
    English version PDF:43
    References:111
    First page:1
     
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