The value-distribution of lacunary series and a conjecture of Paley

DOI10.5802/aif.820zbMath0437.30021OpenAlexW2318678537WikidataQ123159231 ScholiaQ123159231MaRDI QIDQ1141253

Takafumi Murai

Publication date: 1981

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1981__31_1_135_0

zbMATH Keywords

Peano curveHadamard lacunary series

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (6)

Convergence of linear combinations of iterates of an inner function ⋮ Some examples of power series with non-Hadamard gaps ⋮ Log-integrability of Rademacher Fourier series, with applications to random analytic functions ⋮ Holomorphic functions on the disk with infinitely many zeros ⋮ On the growth and range of functions in Möbius invariant spaces ⋮ On the path properties of a lacunary power series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Concerning a theorem of Paley on lacunary power series
• On lacunary power series
• Lacunary power series and Peano curves
• On the Picard property of lacunary power series
• Sur La Distribution Des Valeurs Des Séries Lacunaires
• On the Zeros of Power Series with Hadamard Gaps
• BOUNDARY PROPERTIES OF ANALYTIC FUNCTIONS WITH GAP POWER SERIES
• On the Zeros of Power Series with Hadamard Gaps--Distribution in Sectors
• Boundary Behaviour of Functions With Hadamard Gaps
• Lacunary Taylor and Fourier series

This page was built for publication: The value-distribution of lacunary series and a conjecture of Paley