Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 6, Pages 1374–1387 (Mi smj1046)  
This article is cited in 37 scientific papers (total in 37 papers)

The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces

S. S. Platonov

Petrozavodsk State University
Full-text PDF (234 kB) Citations (37)
References:
PDF
HTML
Abstract: We prove an analog of the classical Titchmarsh theorem on the image under the Fourier transform of a set of functions satisfying the Lipschitz condition in $L^2$. for functions on noncompact rank 1 Riemannian symmetric spaces.
Keywords: symmetric space, Fourier transform, Lipschitz condition.
Received: 26.05.2004
Revised: 24.05.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 6, Pages 1108–1118
DOI: https://doi.org/10.1007/s11202-005-0105-z
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: S. S. Platonov, “The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces”, Sibirsk. Mat. Zh., 46:6 (2005), 1374–1387; Siberian Math. J., 46:6 (2005), 1108–1118
Citation in format AMSBIB
\Bibitem{Pla05}
\by S.~S.~Platonov
\paper The Fourier transform of functions satisfying the Lipschitz condition on rank~1 symmetric spaces
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 6
\pages 1374--1387
\mathnet{http://mi.mathnet.ru/smj1046}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2195036}
\zmath{https://zbmath.org/?q=an:1150.42307}
\elib{https://elibrary.ru/item.asp?id=13485038}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 6
\pages 1108--1118
\crossref{https://doi.org/10.1007/s11202-005-0105-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000234073700013}
Linking options:
  • https://www.mathnet.ru/eng/smj1046
  • https://www.mathnet.ru/eng/smj/v46/i6/p1374
    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024