Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Gru17}
\by V.~V.~Grushin
\paper Generalized Method of Stationary Phase for the Fourier Transform of a Rapidly Oscillating Function
\jour Mat. Zametki
\yr 2017
\vol 102
\issue 6
\pages 816--827
\mathnet{http://mi.mathnet.ru/mzm11441}
\crossref{https://doi.org/10.4213/mzm11441}
\elib{https://elibrary.ru/item.asp?id=30737865}
\transl
\jour Math. Notes
\yr 2017
\vol 102
\issue 6
\pages 746--755
\crossref{https://doi.org/10.1134/S000143461711013X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000418838500013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85039420392}
Linking options:
  • https://www.mathnet.ru/eng/mzm11441
  • https://doi.org/10.4213/mzm11441
  • https://www.mathnet.ru/eng/mzm/v102/i6/p816
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:340
    Full-text PDF :76
    References:43
    First page:26
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024