A Tauberian theorem of Wiener-Ikehara type and its applications

DOI10.1007/s00041-021-09829-yzbMath1467.11083OpenAlexW3135222956MaRDI QIDQ2658734

Toshihiro Koga

Publication date: 24 March 2021

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-021-09829-y

zbMATH Keywords

renewal theoryFourier analysisTauberian theorem

Mathematics Subject Classification ID

Tauberian theorems (40E05) Tauberian theorems (11M45)

Cites Work

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• Distributional Wiener-Ikehara theorem and twin primes
• Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior
• Generalization of the Wiener-Ikehara theorem
• Simplified analytical proof of Blackwell's renewal theorem
• Extension of a renewal theorem
• GENERALIZATION OF THE EFFECTIVE WIENER–IKEHARA THEOREM
• Note on the absence of remainders in the Wiener-Ikehara theorem
• Tauberian Theory
• Exact Wiener–Ikehara theorems
• A property of power series with positive coefficients
• A renewal theorem

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