Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2006, Volume 70, Issue 1, Pages 171–209
DOI: https://doi.org/10.1070/IM2006v170n01ABEH002308 (Mi im754) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Estimates for oscillatory integrals with convex phase

M. A. Chahkiev

Russian State Social University
English version PDF (456 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2006v170n01ABEH002308
Abstract: We consider methods for estimating one-dimensional oscillatory integrals with convex phase and amplitudes of bounded variation or Lipschitz class amplitudes. In particular, we improve the estimate for the Piercey integral with near-caustic parameter values, and also consider estimation methods for $n$-dimensional oscillatory integrals.
Received: 17.05.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 1, Pages 183–220
DOI: https://doi.org/10.4213/im754
Bibliographic databases:
UDC: 511
MSC: 11D41, 11L03, 11D72, 11P05, 41A30, 41A50, 42A38, 42B20, 44A12, 44A99, 58C25, 58K99, 92C55
Language: English
Original paper language: Russian
Citation: M. A. Chahkiev, “Estimates for oscillatory integrals with convex phase”, Izv. RAN. Ser. Mat., 70:1 (2006), 183–220; Izv. Math., 70:1 (2006), 171–209
Citation in format AMSBIB
\Bibitem{Cha06}
\by M.~A.~Chahkiev
\paper Estimates for oscillatory integrals with convex phase
\jour Izv. RAN. Ser. Mat.
\yr 2006
\vol 70
\issue 1
\pages 183--220
\mathnet{http://mi.mathnet.ru/im754}
\crossref{https://doi.org/10.4213/im754}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2212439}
\zmath{https://zbmath.org/?q=an:1116.11064}
\elib{https://elibrary.ru/item.asp?id=9251699}
\transl
\jour Izv. Math.
\yr 2006
\vol 70
\issue 1
\pages 171--209
\crossref{https://doi.org/10.1070/IM2006v170n01ABEH002308}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000237779300008}
\elib{https://elibrary.ru/item.asp?id=13504415}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744827666}
Linking options:
  • https://www.mathnet.ru/eng/im754
  • https://doi.org/10.1070/IM2006v170n01ABEH002308
  • https://www.mathnet.ru/eng/im/v70/i1/p183
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:754
    Russian version PDF:286
    English version PDF:34
    References:72
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024