Journal of Soviet Mathematics

, Volume 3, Issue 2, pp 280–299 | Cite as

The canonic operator (complex case)

  • V. P. Maslov
  • B. Yu. Sternin


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.


Complex Case Operator Method Fundamental Theorem Canonic Operator Canonic Operator Method 
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Literature cited

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    V. I. Arnol'd, “On the characteristic class occurring in the quantization condition,” Funktsional'. Analiz i Ego Prilozhen.,1, No. 1, 1–14 (1967).Google Scholar
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    V. P. Maslov, Perturbation Theory and Asymptotic Methods [in Russian], Izd. MGU, Moscow (1965).Google Scholar
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    V. P. Maslov, “The canonic operator on a Lagrange manifold with complex germ and the regulizer for pseudodifferential operators and difference schemes,” Dokl. Akad. Nauk SSSR,195, No. 3, 551–554 (1970).Google Scholar
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    V. P. Maslov, “The characteristics of pseudodifferential operators and difference schemes,” Actes Congr. Int. Mathématiciens, 1970, Vol. 2, Paris (1971), pp. 755–769.Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • V. P. Maslov
  • B. Yu. Sternin

There are no affiliations available

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