Necessary and sufficient Tauberian condition for both Cesàro and Abel summability

DOI10.1365/s13291-024-00279-1zbMath1547.40001MaRDI QIDQ6554587

Philippe Angot

Publication date: 12 June 2024

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

zbMATH Keywords

Cesàro summabilitypower seriesAbel summabilityTauberian theoryweakly-vanishing mean oscillation

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Vector-valued measures and integration (46G10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24) Tauberian theorems (40E05)

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