|
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
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.
DOI:
https://doi.org/10.4213/mzm1511
Full text:
PDF file (238 kB)
References:
PDF file
HTML file
English version:
Mathematical Notes, 1997, 61:3, 301–312
Bibliographic databases:
UDC:
517.5 Received: 10.07.1995
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/mz1511}
\crossref{https://doi.org/10.4213/mzm1511}
\mathscinet{http://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1997XR25700006}
Linking options:
http://mi.mathnet.ru/eng/mz1511https://doi.org/10.4213/mzm1511 http://mi.mathnet.ru/eng/mz/v61/i3/p367
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
Sedletskii, AM, “Bases occurring in the solution of equations of mixed type”, Differential Equations, 35:4 (1999), 507
-
B. N. Khabibullin, “Stability of Completeness for Systems of Exponentials on Compact Convex Sets in $\mathbb C$”, Math. Notes, 72:4 (2002), 542–550
-
A. M. Sedletskii, “Analytic Fourier Transforms and Exponential Approximations. I”, Journal of Mathematical Sciences, 129:6 (2005), 4251–4408
-
V. P. Zastavnyi, “A Theorem on the Zeros of Entire Functions and Its Application”, Math. Notes, 75:2 (2004), 175–189
-
A. M. Sedletskii, “On the Stability of the Uniform Minimality of a Set of Exponentials”, Journal of Mathematical Sciences, 155:1 (2008), 170–182
-
V. P. Zastavnyi, “On Zeros of Entire Functions of Special Form”, Math. Notes, 83:1 (2008), 23–30
-
Hryniv, RO, “ON ZEROS OF SOME ENTIRE FUNCTIONS”, Transactions of the American Mathematical Society, 361:4 (2009), 2207
|
Number of views: |
This page: | 305 | Full text: | 161 | References: | 33 | First page: | 1 |
|