A property of the Fourier transform of probability measures on the real line related to the renewal theorem

DOI10.3792/pjaa.88.152zbMath1264.60066OpenAlexW1972508107MaRDI QIDQ1949179

Yasuki Isozaki

Publication date: 25 April 2013

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1352210377

zbMATH Keywords

Fourier transformweak convergencerenewal theoryrandom walk

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50) Renewal theory (60K05)

Cites Work

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• On a limit theorem in renewal theory
• Extension of a renewal theorem
• A property of power series with positive coefficients
• A renewal theorem

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