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References
LOYNES, R. M. Linear operators in VH-spaces, Trans. Amer. Math. Soc., 116 (1965) 167–180.
— On a generalisation of second-order stationarity, Proc. Lond. Math. Soc., 15 (1965) 385–398.
— On certain applications of the spectral representation of stationary processes, Zeits. Wahrscheinlichkeitsth. verw. Geb. 5 (1966) 180–186.
LOEVE, M. Probability Theory, New York: Van Nostrand, 1955.
KENDALL, D. G. Unitary dilations of Markov transition operators, and the associated integral representations for transition probability matrices (in Surveys in Probability and Statistics, ed. Grenander) Stockholm, 1959.
FELLER, W. On the Fourier representation for Markov chains and the strong ratio theorem, (unpublished manuscript).
BOCHNER, S. Harmonic Analysis and the Theory of Probability, Berkeley: University of California Press, 1955.
RUDIN, W. Fourier Analysis on Groups, New York: Interscience, 1962.
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Loynes, R.M. (1967). Some problems arising from spectral analysis. In: Symposium on Probability Methods in Analysis. Lecture Notes in Mathematics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061119
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DOI: https://doi.org/10.1007/BFb0061119
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