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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
References:
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
Language: English
Original paper language: Russian
Citation: M. A. Chahkiev, “Estimates for oscillatory integrals with convex phase”, 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. Math.
\yr 2006
\vol 70
\issue 1
\pages 171--209
\mathnet{http://mi.mathnet.ru//eng/im754}
\crossref{https://doi.org/10.1070/IM2006v170n01ABEH002308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2212439}
\zmath{https://zbmath.org/?q=an:1116.11064}
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\elib{https://elibrary.ru/item.asp?id=9251699}
\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:769
    Russian version PDF:291
    English version PDF:42
    References:75
    First page:3
     
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