S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “New integral representations of the Maslov canonical operator in singular charts”, Izv. RAN. Ser. Mat., 2017, Volume 81, Issue 2,Pages <nobr>53

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New integral representations of the Maslov canonical operator in singular charts

S. Yu. Dobrokhotov^ab, V. E. Nazaikinskii^ab, A. I. Shafarevich^abcd

^a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
^b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
^c Lomonosov Moscow State University
^d National Research Centre "Kurchatov Institute", Moscow

Abstract: 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.

UDC: 517.9

MSC: Primary 81Q20; Secondary 53D12, 35C20

Received: 12.11.2015
Revised: 15.03.2016

DOI: 10.4213/im8470