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Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space

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Abstract

A number of geometric questions related to the complex theory of the canonical Maslov operator are considered. The investigations center around the following themes: 1) quantization conditions and the problem of finding the asymptotics of eigenvalues; 2) universal characteristics of the theory of the complex canonical operator; 3) complex Hamiltonian fields and their trajectories.

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Authors
  1. A. S. Mishchenko
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  2. B. Yu. Sternin
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  3. V. E. Shatalov
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Additional information

Translated from Itogi Nauki i Tekhniki, Sovremennye Problemy Matematiki, Vol. 8, pp. 5–39, 1977.

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Mishchenko, A.S., Sternin, B.Y. & Shatalov, V.E. Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space. J Math Sci 13, 1–23 (1980). https://doi.org/10.1007/BF01084108

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