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, 2010, Volume 87, Issue 5, Pages 734–755
DOI: https://doi.org/10.4213/mzm4619 (Mi mzm4619) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Summability of Oscillatory Integrals over Parameters and the Boundedness Problem for Fourier Transforms on Curves

I. A. Ikromov

A. Navoi Samarkand State University
Full-text PDF (639 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4619
Abstract: We find the exact exponent of summability of the Fourier transform of signed measures concentrated on differentiable curves of finite type. We study the behavior of oscillatory integral operators related to the Fourier transform of signed measures concentrated on curves. We obtain necessary and sufficient conditions for the boundedness of the Fourier transform on smooth curves of finite type.
Keywords: oscillatory integral, Fourier transform, exponent of summability, versal deformation, Randol function, differentiable curve, diffeomorphism group.
Received: 29.12.2008
English version:
Mathematical Notes, 2010, Volume 87, Issue 5, Pages 700–719
DOI: https://doi.org/10.1134/S0001434610050093
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Ikromov, “Summability of Oscillatory Integrals over Parameters and the Boundedness Problem for Fourier Transforms on Curves”, Mat. Zametki, 87:5 (2010), 734–755; Math. Notes, 87:5 (2010), 700–719
Citation in format AMSBIB
\Bibitem{Ikr10}
\by I.~A.~Ikromov
\paper Summability of Oscillatory Integrals over Parameters and the Boundedness Problem for Fourier Transforms on Curves
\jour Mat. Zametki
\yr 2010
\vol 87
\issue 5
\pages 734--755
\mathnet{http://mi.mathnet.ru/mzm4619}
\crossref{https://doi.org/10.4213/mzm4619}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2766587}
\elib{https://elibrary.ru/item.asp?id=15318097}
\transl
\jour Math. Notes
\yr 2010
\vol 87
\issue 5
\pages 700--719
\crossref{https://doi.org/10.1134/S0001434610050093}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279600700009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77954417751}
Linking options:
  • https://www.mathnet.ru/eng/mzm4619
  • https://doi.org/10.4213/mzm4619
  • https://www.mathnet.ru/eng/mzm/v87/i5/p734
    • This publication is cited in the following 9 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:534
    Full-text PDF :238
    References:94
    First page:28
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024