Multipliers of the Hilbert spaces of Dirichlet series

MaRDI QIDQ2699846

Chaman Kumar Sahu

Publication date: 19 April 2023

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06413

zbMATH Keywords

Möbius functionDirichlet seriesmultiplierreproducing kernel Hilbert spaceadditive function

Mathematics Subject Classification ID

Miscellaneous applications of number theory (11Z05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

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• Local properties of Hilbert spaces of Dirichlet series
• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• Spaces of Dirichlet series with the complete Pick property
• Composition operators on Bohr-Bergman spaces of Dirichlet series
• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• Hilbert spaces of Dirichlet series and their multipliers
• Operator Analysis
• Diophantine Approximation and Dirichlet Series

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