Geodesic
Covariant and contravariant symbols of operators
Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 1117-1151

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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. 
@article{IM2_1972_6_5_a7,
     author = {F. A. Berezin},
     title = {Covariant and contravariant symbols of operators},
     journal = {Izvestiya. Mathematics },
     pages = {1117--1151},
     publisher = {mathdoc},
     volume = {6},
     number = {5},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a7/}
}
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F. A. Berezin. Covariant and contravariant symbols of operators. Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 1117-1151. http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a7/