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Matematicheskie Zametki, 2017, Volume 102, Issue 6, Pages 816–827
DOI: https://doi.org/10.4213/mzm11441 (Mi mzm11441) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Generalized Method of Stationary Phase for the Fourier Transform of a Rapidly Oscillating Function

V. V. Grushin

National Research University "Higher School of Economics" (HSE), Moscow
Full-text PDF (476 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11441
Abstract: Asymptotic formulas are obtained for a class of integrals that are Fourier transforms of rapidly oscillating functions. These formulas contain special functions and generalize the well-known method of stationary phase.
Keywords: asymptotics, Fourier transform, rapidly oscillating function, method of stationary phase.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00339
This work was supported by the Russian Foundation for Basic Research under grant 16-31-00339.
Received: 27.10.2016
Revised: 06.02.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 6, Pages 746–755
DOI: https://doi.org/10.1134/S000143461711013X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Grushin, “Generalized Method of Stationary Phase for the Fourier Transform of a Rapidly Oscillating Function”, Mat. Zametki, 102:6 (2017), 816–827; Math. Notes, 102:6 (2017), 746–755
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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