Geodesic
Singular points of the sum of a Dirichlet series on the convergence line
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 2, pp. 54-69

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We study the distribution of singular points of the sum of a Dirichlet series and obtain necessary and sufficient conditions for the sum of such a series to have at least one singular point on any segment of given length on the convergence line.
Keywords: singular point, invariant subspace, fundamental principle.
Mots-clés : convex domain 
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     author = {O. A. Krivosheeva and A. S. Krivosheev},
     title = {Singular points of the sum of a {Dirichlet} series on the convergence line},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {54--69},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a5/}
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O. A. Krivosheeva; A. S. Krivosheev. Singular points of the sum of a Dirichlet series on the convergence line. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 2, pp. 54-69. http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a5/