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Representing Exponential Systems in Spaces of Analytic Functions

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Abstract

This paper is devoted to representing exponential systems in various subspaces of the space H(D) of functions that are analytic in a bounded convex domain D. We consider two kinds of such subspaces: uniformly weighted spaces H(D,𝜑) and spaces of the type of Carleman classes H(D,ℳ).

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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

    K. P. Isaev

  2. Bashkir State University, Ufa, Russia

    K. P. Isaev

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  1. K. P. Isaev
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Correspondence to K. P. Isaev.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 161, Complex Analysis. Entire Functions and Their Applications, 2019.

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Isaev, K.P. Representing Exponential Systems in Spaces of Analytic Functions. J Math Sci 257, 143–205 (2021). https://doi.org/10.1007/s10958-021-05478-0

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