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Izvestiya: Mathematics, 2017, Volume 81, Issue 2, Pages 286–328
DOI: https://doi.org/10.1070/IM8470 (Mi im8470) 		 
This article is cited in 44 scientific papers (total in 44 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
English version PDF (650 kB) Citations (44) Russian version article
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DOI: https://doi.org/10.1070/IM8470
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.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00521-а
13-01-00664-а
Ministry of Education and Science of the Russian Federation НШ-581.2014.1
The research was supported by the Russian Foundation for Basic Research under grants nos. 14-01-00521-a and 13-01-00664-a and by the programme ‘Leading Scientific Schools’ under grant no. NSh-581.2014.1).
Received: 12.11.2015
Revised: 15.03.2016
Bibliographic databases:
UDC: 517.9
MSC: Primary 81Q20; Secondary 53D12, 35C20
Language: English
Original paper language: Russian
Citation: S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “New integral representations of the Maslov canonical operator in singular charts”, Izv. Math., 81:2 (2017), 286–328
Citation in format AMSBIB
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\paper New integral representations of the Maslov canonical operator in singular charts
\jour Izv. Math.
\yr 2017
\vol 81
\issue 2
\pages 286--328
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    • This publication is cited in the following 44 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:1697
    Russian version PDF:233
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    References:119
    First page:71
     
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