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

Yasuki Isozaki

doi:10.3792/pjaa.88.152

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Home > Journals > Proc. Japan Acad. Ser. A Math. Sci. > Volume 88 > Issue 9 > Article

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

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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

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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

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Proc. Japan Acad. Ser. A Math. Sci.

Vol.88 • No. 9 • November 2012

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Yasuki Isozaki "A property of the Fourier transform of probability measures on the real line related to the renewal theorem," Proceedings of the Japan Academy, Series A, Mathematical Sciences, Proc. Japan Acad. Ser. A Math. Sci. 88(9), 152-155, (November 2012)

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