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Matematicheskie Zametki, 2002, Volume 72, Issue 4, Pages 587–596
DOI: https://doi.org/10.4213/mzm447 (Mi mzm447) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

B. N. Khabibullin

Bashkir State University
Full-text PDF (237 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm447
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.
Received: 28.11.2000
Revised: 20.11.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 4, Pages 542–550
DOI: https://doi.org/10.1023/A:1020592630556
Bibliographic databases:
UDC: 517.538.2
Language: Russian
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
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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