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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)
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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
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\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
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\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}
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  • 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:
    1. Hryniv, RO, “ON ZEROS OF SOME ENTIRE FUNCTIONS”, Transactions of the American Mathematical Society, 361:4 (2009), 2207  crossref  mathscinet  zmath  isi  scopus  scopus
    2. V. P. Zastavnyi, “On Zeros of Entire Functions of Special Form”, Math. Notes, 83:1 (2008), 23–30  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. A. M. Sedletskii, “On the Stability of the Uniform Minimality of a Set of Exponentials”, Journal of Mathematical Sciences, 155:1 (2008), 170–182  mathnet  crossref  mathscinet  zmath  elib
    4. V. P. Zastavnyi, “A Theorem on the Zeros of Entire Functions and Its Application”, Math. Notes, 75:2 (2004), 175–189  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. A. M. Sedletskii, “Analytic Fourier Transforms and Exponential Approximations. I”, Journal of Mathematical Sciences, 129:6 (2005), 4251–4408  mathnet  crossref  mathscinet  zmath
    6. B. N. Khabibullin, “Stability of Completeness for Systems of Exponentials on Compact Convex Sets in $\mathbb C$”, Math. Notes, 72:4 (2002), 542–550  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. Sedletskii, AM, “Bases occurring in the solution of equations of mixed type”, Differential Equations, 35:4 (1999), 507  mathnet  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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