Geodesic
The canonical operator (the complex case)
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 1 (1973), pp. 169-195.

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We present the canonic operator method for the complex case. We prove the cocyclicity of a canonic cochain and establish a fundamental theorem on commutation. 
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     title = {The canonical operator (the complex case)},
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V. P. Maslov; B. Yu. Sternin. The canonical operator (the complex case). Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 1 (1973), pp. 169-195. http://geodesic.mathdoc.fr/item/INTD_1973_1_a4/