The representation of analytic functions by Dirichlet series at the boundary of the convergence domain
Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 769-780
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Examples of entire functions are given, whose Dirichlet series diverge in all points of the boundary of the convergence domain of these series; we investigate the summability problems of such series.
@article{MZM_1973_14_6_a0,
author = {V. K. Dzyadyk and E. K. Krutigolova},
title = {The representation of analytic functions by {Dirichlet} series at the boundary of the convergence domain},
journal = {Matemati\v{c}eskie zametki},
pages = {769--780},
year = {1973},
volume = {14},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a0/}
}
TY - JOUR AU - V. K. Dzyadyk AU - E. K. Krutigolova TI - The representation of analytic functions by Dirichlet series at the boundary of the convergence domain JO - Matematičeskie zametki PY - 1973 SP - 769 EP - 780 VL - 14 IS - 6 UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a0/ LA - ru ID - MZM_1973_14_6_a0 ER -
V. K. Dzyadyk; E. K. Krutigolova. The representation of analytic functions by Dirichlet series at the boundary of the convergence domain. Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 769-780. http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a0/