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This work was supported by NSF Grant GP-1577 and NSF GP-3725. The results in this paper were announced in [7].
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Kawata, T. On the Fourier series of a stationary stochastic process. Z. Wahrscheinlichkeitstheorie verw Gebiete 6, 224–245 (1966). https://doi.org/10.1007/BF00531805
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DOI: https://doi.org/10.1007/BF00531805