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 Mat. Zametki, 2002, Volume 72, Issue 4, Pages 587–596 (Mi mz447)

Stability of Completeness for Systems of Exponentials on Compact Convex Sets in $\mathbb C$

B. N. Khabibullin

Bashkir State University

Abstract: A sufficient condition for the stability of completeness of systems of exponentials $\{\exp \lambda _nz\}$ with exponent shifts $\lambda _n$ in spaces of functions continuous on and holomorphic inside a compact convex set $\subset \mathbb C$ with nonempty interior is obtained. This condition is a generalization of an important special case of the corresponding result for the closed interval due to Redheffer and Alexander.

DOI: https://doi.org/10.4213/mzm447

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English version:
Mathematical Notes, 2002, 72:4, 542–550

Bibliographic databases:

UDC: 517.538.2
Revised: 20.11.2001

Citation: B. N. Khabibullin, “Stability of Completeness for Systems of Exponentials on Compact Convex Sets in $\mathbb C$”, Mat. Zametki, 72:4 (2002), 587–596; Math. Notes, 72:4 (2002), 542–550

Citation in format AMSBIB
\Bibitem{Kha02} \by B.~N.~Khabibullin \paper Stability of Completeness for Systems of Exponentials on Compact Convex Sets in $\mathbb C$ \jour Mat. Zametki \yr 2002 \vol 72 \issue 4 \pages 587--596 \mathnet{http://mi.mathnet.ru/mz447} \crossref{https://doi.org/10.4213/mzm447} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1963153} \zmath{https://zbmath.org/?q=an:1037.30004} \transl \jour Math. Notes \yr 2002 \vol 72 \issue 4 \pages 542--550 \crossref{https://doi.org/10.1023/A:1020592630556} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000179160400028} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141513960} 

• http://mi.mathnet.ru/eng/mz447
• https://doi.org/10.4213/mzm447
• http://mi.mathnet.ru/eng/mz/v72/i4/p587

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This publication is cited in the following articles:
1. Zikkos, E, “On the excess of complex exponential systems in L-2(-a, a)”, Journal of Mathematical Analysis and Applications, 308:1 (2005), 47
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