Geodesic
On a Problem of Leont'ev and Representing Systems of Exponentials
Matematičeskie zametki, Tome 74 (2003) no. 2, pp. 301-313

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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. 
@article{MZM_2003_74_2_a11,
     author = {V. B. Sherstyukov},
     title = {On a {Problem} of {Leont'ev} and {Representing} {Systems} of {Exponentials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {301--313},
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     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_2_a11/}
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V. B. Sherstyukov. On a Problem of Leont'ev and Representing Systems of Exponentials. Matematičeskie zametki, Tome 74 (2003) no. 2, pp. 301-313. http://geodesic.mathdoc.fr/item/MZM_2003_74_2_a11/