Geodesic
Completeness of exponential systemsin function spaces in terms of area
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 4, Tome 233 (2024), pp. 107-117

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In this paper, we establish completeness conditions for exponential systems in spaces of functions that are continuous on a compact set with connected complement and holomorphic inside this compact set, in spaces of holomorphic functions in a bounded simply connected domain in terms of the Euclidean area of the convex hull of this compact set or a domain and in terms of some special characteristics or distribution densities of the exponents of the exponential system.
Keywords: completeness, exponential system, Euclidean area, convex hull, support function, entire function of exponential type, root distribution 
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     author = {B. N. Khabibullin and E. G. Kudasheva},
     title = {Completeness of exponential systemsin function spaces in terms of area},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {107--117},
     publisher = {mathdoc},
     volume = {233},
     year = {2024},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2024_233_a9/}
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B. N. Khabibullin; E. G. Kudasheva. Completeness of exponential systemsin function spaces in terms of area. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 4, Tome 233 (2024), pp. 107-117. http://geodesic.mathdoc.fr/item/INTO_2024_233_a9/