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The Abel-Poisson summation method for multiple Fourier series

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Publication:1161875
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DOI10.1007/BF01149810zbMath0481.42010OpenAlexW2032078853MaRDI QIDQ1161875

Boris I. Golubov

Publication date: 1980

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01149810


zbMATH Keywords

integral Lipschitz conditions


Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Abel, Borel and power series methods (40G10) Summability and absolute summability of Fourier and trigonometric series (42A24)


Related Items (2)

Method of hybrid integral transforms for analyzing direct and inverse problems for a class of equations with a pseudodifferential operator ⋮ Multiple Fourier series and integrals




Cites Work

  • Quasi-analytic functions, Laplace operator, positive kernels
  • The Asymptotic Expansion of the Generalized Hypergeometric Function
  • Theta Relations with Spherical Harmonics
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