Holomorphic functions of finite order generated by Dirichlet series

DOI10.1007/s43037-022-00184-8OpenAlexW3183971455MaRDI QIDQ2137903

Andreas Defant, Ingo Schoolmann

Publication date: 11 May 2022

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10153

zbMATH Keywords

Hardy spacesalmost everywhere convergencegeneral Dirichlet seriesfinite orderRiesz summability

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Dirichlet series, exponential series and other series in one complex variable (30B50) Analysis on ordered groups, (H^p)-theory (43A17) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (2)

Scaling a theorem of Harald Bohr ⋮ Riesz summability on boundary lines of holomorphic functions of finite order generated by Dirichlet series

Cites Work

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• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• Hardy spaces of Dirichlet series and their composition operators
• Fréchet spaces of general Dirichlet series
• Convergence and almost sure properties in Hardy spaces of Dirichlet series
• Variants of a theorem of Helson on general Dirichlet series
• Riesz means in Hardy spaces on Dirichlet groups
• \(\mathcal{H}_p \)-theory of general Dirichlet series
• Compact groups and Dirichlet series
• Vector-valued general Dirichlet series
• On Bohr's theorem for general Dirichlet series
• Dirichlet Series and Holomorphic Functions in High Dimensions
• Diophantine Approximation and Dirichlet Series
• Harmonic analysis.

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