@article{oai:ynu.repo.nii.ac.jp:00006689, author = {Kawata, Tatsuo}, issue = {1&2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, We shall study about two kinds of Fourier series for a general linear process (GLP) defined by the author motivated by a work of Lugannani on pulse train processes. First we consider the Fourier series of a GLP truncated at $¥pm T/2(T>0)$. Our main concem with this is to study the asymptotic behaviors of Fourier coefficients when $T$ goes to infinity. Corrections and generalizations of some results obtained or announced before will be made among other results. Secondly the approximate Fourier series representation of a GLP will be given and as a consequence of it, the existence of a sample continuous version of the process is shown.}, pages = {9--37}, title = {FOURIER SERIES FOR A GENERAL LINEAR STOCHASTIC PROCESS}, volume = {30}, year = {1982} }