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Journal of Soviet Mathematics

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

The canonic operator (complex case)

  • V. P. Maslov
  • B. Yu. Sternin
Article
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Abstract

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.

Keywords

Complex Case Operator Method Fundamental Theorem Canonic Operator Canonic Operator Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    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
  2. 2.
    V. P. Maslov, Perturbation Theory and Asymptotic Methods [in Russian], Izd. MGU, Moscow (1965).Google Scholar
  3. 3.
    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
  4. 4.
    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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