Loading [MathJax]/jax/output/SVG/config.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 293, Pages 201–216
DOI: https://doi.org/10.1134/S037196851602014X (Mi tm3714) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Exactness and optimality of methods for recovering functions from their spectrum

G. G. Magaril-Il'yaevabc, K. Yu. Osipenkocdb

a Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198 Russia
b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
c Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bol'shoi Karetnyi per. 19, str. 1, Moscow, 127051 Russia
d Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia
Full-text PDF (233 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S037196851602014X
Abstract: Optimal methods are constructed for recovering functions and their derivatives in a Sobolev class of functions on the line from exactly or approximately defined Fourier transforms of these functions on an arbitrary measurable set. The methods are exact on certain subspaces of entire functions. Optimal recovery methods are also constructed for wider function classes obtained as the sum of the original Sobolev class and a subspace of entire functions.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00456
14-01-00744
This work was supported by the Russian Foundation for Basic Research, project nos. 14-01-00456 and 14-01-00744.
Received: November 9, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 293, Pages 194–208
DOI: https://doi.org/10.1134/S0081543816040143
Bibliographic databases:
Document Type: Article
UDC: 517.984.64
Language: Russian
Citation: G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Exactness and optimality of methods for recovering functions from their spectrum”, Function spaces, approximation theory, and related problems of mathematical analysis, Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 293, MAIK Nauka/Interperiodica, Moscow, 2016, 201–216; Proc. Steklov Inst. Math., 293 (2016), 194–208
Citation in format AMSBIB
\Bibitem{MagOsi16}
\by G.~G.~Magaril-Il'yaev, K.~Yu.~Osipenko
\paper Exactness and optimality of methods for recovering functions from their spectrum
\inbook Function spaces, approximation theory, and related problems of mathematical analysis
\bookinfo Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2016
\vol 293
\pages 201--216
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3714}
\crossref{https://doi.org/10.1134/S037196851602014X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3628480}
\elib{https://elibrary.ru/item.asp?id=26344479}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2016
\vol 293
\pages 194--208
\crossref{https://doi.org/10.1134/S0081543816040143}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000380722200014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84979995731}
Linking options:
  • https://www.mathnet.ru/eng/tm3714
  • https://doi.org/10.1134/S037196851602014X
  • https://www.mathnet.ru/eng/tm/v293/p201
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:421
    Full-text PDF :105
    References:62
    First page:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025