Distributional versions of littlewood’s Tauberian theorem

DOI10.1007/s10587-013-0025-1zbMath1289.40022arXiv1201.1408OpenAlexW2155143353MaRDI QIDQ2864415

Ricardo Estrada, Jasson Vindas

Publication date: 6 December 2013

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

Full work available at URL: https://arxiv.org/abs/1201.1408

zbMATH Keywords

Laplace transformasymptotic behaviorCesàro summabilitygeneralized functionTauberian theoremAbel summabilityconverse of Abel's theoremdistributional Tauberian theoremLittlewood's Tauberian theorem

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Laplace transform (44A10) Abel, Borel and power series methods (40G10) Tauberian theorems (40E05)

Related Items (3)

Abel summability in topological spaces ⋮ Fourier transform inversion: bounded variation, polynomial growth, Henstock-Stieltjes integration ⋮ On the relation between Lebesgue summability and some other summation methods

Cites Work

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• Notes on the Theory of Series (XVI): Two Tauberian Theorems
• Tauberian Theory
• Converse Theorems of Summability for Dirichlet's Series

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