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Symposium on Probability Methods in Analysis pp 197–207Cite as

Some problems arising from spectral analysis

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 31))

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References

  1. LOYNES, R. M. Linear operators in VH-spaces, Trans. Amer. Math. Soc., 116 (1965) 167–180.

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  2. — On a generalisation of second-order stationarity, Proc. Lond. Math. Soc., 15 (1965) 385–398.

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  3. — On certain applications of the spectral representation of stationary processes, Zeits. Wahrscheinlichkeitsth. verw. Geb. 5 (1966) 180–186.

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  4. LOEVE, M. Probability Theory, New York: Van Nostrand, 1955.

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  5. 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.

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  6. FELLER, W. On the Fourier representation for Markov chains and the strong ratio theorem, (unpublished manuscript).

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  7. BOCHNER, S. Harmonic Analysis and the Theory of Probability, Berkeley: University of California Press, 1955.

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  8. RUDIN, W. Fourier Analysis on Groups, New York: Interscience, 1962.

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Authors and Affiliations

  1. Cambridge

    R. M. Loynes

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  1. R. M. Loynes
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© 1967 Springer-Verlag

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-03902-0

  • Online ISBN: 978-3-540-34970-9

  • eBook Packages: Springer Book Archive

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