Poisson summation formula in Hardy spaces \(H^p(T_\Gamma )\), \(p\in (0,1]\)

DOI10.1007/s40315-016-0170-2zbMath1362.42051OpenAlexW2472317572MaRDI QIDQ523315

Alexander V. Tovstolis, Xin Li

Publication date: 20 April 2017

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-016-0170-2

zbMATH Keywords

Hardy spacePoisson summation formulaabsolute and locally-uniform convergencetube area

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Cites Work

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• Basic relations valid for the Bernstein spaces B²_σand their extensions to larger function spaces via a unified distance concept
• Une remarque concernant la formule de Poisson
• An uncertainty principle related to the Poisson summation formula

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