Geodesic
Representing exponential systems in spaces of analytical functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex Analysis. Entire Functions and Their Applications, Tome 161 (2019), pp. 3-64

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This paper is devoted to representing exponential systems in various subspaces of the space $H(D)$ of functions that are analytical in a bounded convex domain $D$. We consider two kinds of such subspaces: uniformly weighted spaces $H(D,\varphi)$ and spaces of the type of Carleman classes $H(D,\mathcal M)$.
Keywords: analytical function, entire function, exponential series, sufficient set. 
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     author = {K. P. Isaev},
     title = {Representing exponential systems in spaces of analytical functions},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--64},
     publisher = {mathdoc},
     volume = {161},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_161_a0/}
}
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K. P. Isaev. Representing exponential systems in spaces of analytical functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex Analysis. Entire Functions and Their Applications, Tome 161 (2019), pp. 3-64. http://geodesic.mathdoc.fr/item/INTO_2019_161_a0/