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Izvestiya: Mathematics, 2004, Volume 68, Issue 5, Pages 1025–1049
DOI: https://doi.org/10.1070/IM2004v068n05ABEH000507
(Mi im507)
 

On the completeness of sparse subsequences of systems of functions of the form f(n)(λnz)

A. Yu. Popov
References:
Abstract: We obtain some new results on the completeness of systems of functions f(n)(λnz) in the space of entire functions with the topology of uniform convergence on an arbitrary compact set in C. In the presence of lacunae in the Taylor expansion of the function f(z), we prove the existence of bases consisting of subsystems of this form.
Received: 25.11.2003
Bibliographic databases:
UDC: 517.538.2
Language: English
Original paper language: Russian
Citation: A. Yu. Popov, “On the completeness of sparse subsequences of systems of functions of the form f(n)(λnz)”, Izv. Math., 68:5 (2004), 1025–1049
Citation in format AMSBIB
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\by A.~Yu.~Popov
\paper On the completeness of sparse subsequences of systems of functions of the form $f^{(n)}(\lambda_nz)$
\jour Izv. Math.
\yr 2004
\vol 68
\issue 5
\pages 1025--1049
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\crossref{https://doi.org/10.1070/IM2004v068n05ABEH000507}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746474729}
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    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:560
    Russian version PDF:221
    English version PDF:29
    References:91
    First page:2
     
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