Abstract
The author studies in this paper a spectral resolution of second order stochastic processes continuous in the quadratic mean derived from a resolution of the identity in Hilbert space.
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References
N. Aronszjan: Theory of reproducing kernels. Trans. Amer. Math. Soc. 68 (1950), 337–404.
M. H. Stone: Linear transformations in Hilbert space. Amer. Math. Soc. Colloquium Publications, Vol. XV.
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© 1977 ACADEMIA, Pulishing House of the Czechoslovak Academy of Sciences, Prague
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Michálek, J. (1977). Second Order Stochastic Processes and Self-Adjoint Operators. In: Kožešnik, J. (eds) Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians. Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians, vol 7A. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9910-3_43
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DOI: https://doi.org/10.1007/978-94-010-9910-3_43
Publisher Name: Springer, Dordrecht
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