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On a Certain Class of Entire Functions

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Abstract

In this paper, we examine the problem on the description in terms of the Laplace transform of functionals from the conjugate space for the Hilbert space of entire functions of n variables constructed by a convex function in ℂn, which depends on the modules of variables and grows at infinity faster than a‖z‖ for any a > 0.

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Authors and Affiliations

  1. Institute of Mathematics with Computing Center, Ufa Federal Research Center of the Russian Academy of Sciences, Ufa, Russia

    I. Kh. Musin

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  1. I. Kh. Musin
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Correspondence to I. Kh. Musin.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 153, Complex Analysis, 2018.

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Musin, I.K. On a Certain Class of Entire Functions. J Math Sci 252, 428–435 (2021). https://doi.org/10.1007/s10958-020-05170-9

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  • DOI: https://doi.org/10.1007/s10958-020-05170-9

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