On Fourier integral operators
Sbornik. Mathematics, Tome 38 (1981) no. 3, pp. 293-334

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On the basis of the stationary phase method for oscillatory integrals with complex phase function, the authors prove the coincidence of Fourier integral operators and Maslov's canonical operator. Bibliography: 17 titles.
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V. G. Danilov; Le Vu An'. On Fourier integral operators. Sbornik. Mathematics, Tome 38 (1981) no. 3, pp. 293-334. http://geodesic.mathdoc.fr/item/SM_1981_38_3_a0/