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Matematicheskie Zametki, 2003, Volume 74, Issue 2, Pages 301–313
DOI: https://doi.org/10.4213/mzm264 (Mi mzm264) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On a Problem of Leont'ev and Representing Systems of Exponentials

V. B. Sherstyukov

Moscow Engineering Physics Institute (State University)
Full-text PDF (232 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm264
Abstract: We study whether an entire function of exponential type has totally regular growth if its derivative increases sufficiently fast on the zero set of the function itself. In particular, for a function with a trigonometrically convex (or positive) lower indicator, we obtain a solution of a well-known problem of Leont'ev. As an application, we refine some already known results concerning the characterization of exponents of the representing systems of exponentials.
Received: 08.02.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 2, Pages 286–298
DOI: https://doi.org/10.1023/A:1025068527611
Bibliographic databases:
UDC: 517.547.22
Language: Russian
Citation: V. B. Sherstyukov, “On a Problem of Leont'ev and Representing Systems of Exponentials”, Mat. Zametki, 74:2 (2003), 301–313; Math. Notes, 74:2 (2003), 286–298
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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