Geodesic
New integral representations of the Maslov canonical operator in singular charts
Izvestiya. Mathematics , Tome 81 (2017) no. 2, pp. 286-328

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We construct a new integral representation of the Maslov canonical operator convenient in numerical-analytical calculations, present an algorithm implementing this representation, and consider a number of examples.
Keywords: Maslov canonical operator, Fourier integral operator, integral representation, asymptotic formula. 
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     title = {New integral representations of the {Maslov} canonical operator in singular charts},
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S. Yu. Dobrokhotov; V. E. Nazaikinskii; A. I. Shafarevich. New integral representations of the Maslov canonical operator in singular charts. Izvestiya. Mathematics , Tome 81 (2017) no. 2, pp. 286-328. http://geodesic.mathdoc.fr/item/IM2_2017_81_2_a3/