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This article is cited in 41 scientific papers (total in 41 papers)
New integral representations of the Maslov canonical operator in singular charts
S. Yu. Dobrokhotovab, V. E. Nazaikinskiiab, A. I. Shafarevichabcd 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.
Received: 12.11.2015 Revised: 15.03.2016
Citation:
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “New integral representations of the Maslov canonical operator in singular charts”, Izv. RAN. Ser. Mat., 81:2 (2017), 53–96; Izv. Math., 81:2 (2017), 286–328
Linking options:
https://www.mathnet.ru/eng/im8470https://doi.org/10.1070/IM8470 https://www.mathnet.ru/eng/im/v81/i2/p53
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Abstract page: | 1674 | Russian version PDF: | 226 | English version PDF: | 39 | References: | 116 | First page: | 71 |
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