Abel-Tauber theorems for Fourier-Stieltjes coefficients


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83486

Title:	Abel-Tauber theorems for Fourier-Stieltjes coefficients
Authors:	Inoue, A. Browse this author
Issue Date:	1-Jul-1996
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	340
Start Page:	1
End Page:	17
Abstract:	We prove Abel-Tauber theorems which link the asymptotics of a function and its Fourier-Stieltjes coefficients. Both cosine and sine coefficients are studied. The results in the cosine case can be applied to stationary time series with long-time memory. The analogues for Fourier-Stieltjes transforms are also given.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69090
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

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