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, 1997, Volume 61, Issue 3, Pages 367–380
DOI: https://doi.org/10.4213/mzm1511 (Mi mzm1511) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Entire functions of Bernstein's class that are not Fourier–Stieltjes transforms

A. M. Sedletskii

M. V. Lomonosov Moscow State University
Full-text PDF (238 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm1511
Abstract: We consider certain subclasses of the class of entire functions of exponential type bounded on the real axis. We construct functions that belong to these subclasses but are not Fourier–Stieltjes transforms. Particular attention is given to the distribution of zeros of such functions. The results obtained allow us to study the stability of completeness of systems of exponentials in $C$ and $L_p$ under small perturbations of the exponents.
Received: 10.07.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 3, Pages 301–312
DOI: https://doi.org/10.1007/BF02355412
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. M. Sedletskii, “Entire functions of Bernstein's class that are not Fourier–Stieltjes transforms”, Mat. Zametki, 61:3 (1997), 367–380; Math. Notes, 61:3 (1997), 301–312
Citation in format AMSBIB
\Bibitem{Sed97}
\by A.~M.~Sedletskii
\paper Entire functions of Bernstein's class that are not Fourier--Stieltjes transforms
\jour Mat. Zametki
\yr 1997
\vol 61
\issue 3
\pages 367--380
\mathnet{http://mi.mathnet.ru/mzm1511}
\crossref{https://doi.org/10.4213/mzm1511}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1619755}
\zmath{https://zbmath.org/?q=an:0917.42008}
\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 3
\pages 301--312
\crossref{https://doi.org/10.1007/BF02355412}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XR25700006}
Linking options:
  • https://www.mathnet.ru/eng/mzm1511
  • https://doi.org/10.4213/mzm1511
  • https://www.mathnet.ru/eng/mzm/v61/i3/p367
    • This publication is cited in the following 7 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:503
    Full-text PDF :265
    References:65
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024