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On convergence of series of simple partial fractions in \(L_p(\mathbb{R})\)

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Publication:905374
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DOI10.1007/s10958-015-2583-2zbMath1350.40003OpenAlexW1901442932MaRDI QIDQ905374

A. E. Dodonov

Publication date: 19 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2583-2


zbMATH Keywords

series of simple partial fractions


Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30)


Related Items (2)

Extremal and approximative properties of simple partial fractions ⋮ Criteria for the best approximation by simple partial fractions on semi-axis and axis



Cites Work

  • Integral bounds for simple partial fractions
  • A necessary condition for the convergence of simple partial fractions in \( L_p(\mathbb R)\)
  • Convergence of the imaginary parts of simplest fractions in \(L_{p}(\mathbb R)\) for \(p < 1\)
  • Convergence of simple partial fractions in $ L_p(\mathbb R)$
  • Convergence of series of simple partial fractions in $ L_p(\mathbb R)$
  • Approximation by simple partial fractions and the Hilbert transform


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