ON EFFICIENT ANALYTIC CONTINUATION OF POWER SERIES

DOI10.1070/SM1985v052n01ABEH002875zbMath0571.30003OpenAlexW2030667358MaRDI QIDQ3688613

N. U. Arakelian

Publication date: 1985

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1985v052n01abeh002875

zbMATH Keywords

analytic extensionanalytic elementeffective summability

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Analytic continuation of functions of one complex variable (30B40)

Related Items (10)

Multipliers on vector spaces of holomorphic functions ⋮ Unnamed Item ⋮ Non-null-controllability of the Grushin operator in 2D ⋮ Power series with H.-O. gaps; Tauberian theorems ⋮ Efficient analytic continuation of power series by matrix summation methods ⋮ Efficient harmonic continuation of the Laplace series ⋮ Power series: localization of singularities on the boundary of the disk of convergence ⋮ Invertible elements in a convolution algebra of holomorphic functions ⋮ Lacunary (R, p, M)-summability ⋮ Interpolation of holomorphic functions and surjectivity of Taylor coefficient multipliers

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