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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
English version PDF (456 kB) Citations (4) Russian version article
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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
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. Math., 70:1 (2006), 171–209
Citation in format AMSBIB
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\by M.~A.~Chahkiev
\paper Estimates for oscillatory integrals with convex phase
\jour Izv. Math.
\yr 2006
\vol 70
\issue 1
\pages 171--209
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    • 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
     
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