Banach spaces of general Dirichlet series

DOI10.1016/j.jmaa.2018.05.036zbMath1408.30001OpenAlexW2802435927WikidataQ129835129 ScholiaQ129835129MaRDI QIDQ1650491

Manuel Maestre, Yun Sung Choi, Un Young Kim

Publication date: 4 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.036

zbMATH Keywords

Dirichlet seriesholomorphic functionsabscissas of convergence

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (4)

Convergence and almost sure properties in Hardy spaces of Dirichlet series ⋮ Lagrange inversion theorem for Dirichlet series ⋮ Hardy spaces of general Dirichlet series — a survey ⋮ \(\mathcal{H}_p \)-theory of general Dirichlet series

Cites Work

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• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
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• Convergent Dirichlet series
• Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables
• Foundations of the theory of Dirichlet series
• Representing Measures and Hardy Spaces for the Infinite Polydisk Algebra
• On the boundary behaviour of the Hardy spaces of Dirichlet series and a frame bound estimate
• Integral means and boundary limits of Dirichlet series
• Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables
• Dirichlet Series and Holomorphic Functions in High Dimensions
• Dirichlet approximation and universal Dirichlet series
• Diophantine Approximation and Dirichlet Series

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