2024-03-28T08:40:10Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690902022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Abel-Tauber theorems for Fourier-Stieltjes coefficientsInoue, A.410We prove Abel-Tauber theorems which link the asymptotics of a funcĀtion 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69090info:doi/10.14943/83486https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69090/1/pre340.pdfHokkaido University Preprint Series in Mathematics3401171996-07-01engpublisher