A characterization of strong random Gaussian operators admitting an integral representation over a measure with independent values. (English. Russian original) Zbl 0724.60043
Translation from Teor. Sluch. Protsess. 15, 28–34 (Russian) (1987; Zbl 0671.60035).
References:
| [1] | Yu. M. Berezanskii,Self-Adjoint Operators in Spaces of Functions of an Infinite Number of Variables, American Mathematical Society, Providence, Rhode Island (1986). |
| [2] | A. A. Dorogovtsev, ?On a representation of strong Gaussian random operators,?Teor. Veroyat. i ee Prim.,31, No. 15, 18?21 (1986). |
| [3] | M. Reid and B. Simon,Methods of Modern Mathematical Physics, Vol. 1, Academic Press, New York (1980). |
| [4] | A. V. Skorokhod,Random Linear Operators, Dordrecht, Boston (1984). |
| [5] | P. Halmos,Measure Theory, Van Nostrand, New York (1950). |
| [6] | R. T. Dudley, ?Random linear functionals,?Trans. Amer. Math. Soc.,136, No. 1, 1?24 (1969). · doi:10.1090/S0002-9947-1969-0264726-2 |
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