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The Carleman kernel and its applications

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Abstract

We examine the properties of the Carleman kernel and present some applications to the theory of entire functions and difference operators.

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Correspondence to F. N. Garif’yanov.

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Original Russian Text Copyright © 2012 Garif’yanov F.N. and Modina S.A.

The authors were supported by the Russian Foundation for Basic Research (Grants 09-01-97008-r-povolzh’e and 12-01-00636).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 6, pp. 1263–1273, November–December, 2012.

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Garif’yanov, F.N., Modina, S.A. The Carleman kernel and its applications. Sib Math J 53, 1011–1020 (2012). https://doi.org/10.1134/S0037446612060055

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