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November 2012 A property of the Fourier transform of probability measures on the real line related to the renewal theorem
Yasuki Isozaki
Proc. Japan Acad. Ser. A Math. Sci. 88(9): 152-155 (November 2012). DOI: 10.3792/pjaa.88.152

Abstract

We study the weak convergence of some measures related to the renewal theorem, extending a result by Feller and Orey.

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Yasuki Isozaki. "A property of the Fourier transform of probability measures on the real line related to the renewal theorem." Proc. Japan Acad. Ser. A Math. Sci. 88 (9) 152 - 155, November 2012. https://doi.org/10.3792/pjaa.88.152

Information

Published: November 2012
First available in Project Euclid: 6 November 2012

zbMATH: 1264.60066
MathSciNet: MR3000894
Digital Object Identifier: 10.3792/pjaa.88.152

Subjects:
Primary: 60K05
Secondary: 60G50

Keywords: Fourier transform , Random walk , renewal theory , weak convergence

Rights: Copyright © 2012 The Japan Academy

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Vol.88 • No. 9 • November 2012
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