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commutative nonstationary stochastic fields; correlation function; infinitesimal correlation function; contractive semigroup

References:

[1] Erdelyi, A. (ed.): **Higher transcendental functions**. McGraw-Hill, New York 1953. Zbl 0542.33002

[2] Kirchev, K. P.: **On a certain class of non-stationary random processes**. Teor. Funkts., Funkts. Anal. Prilozh., Kharkov 14 (1971), 150–160 (Russian).

[3] Kirchev, K. P.: **Linear representable random processes**. God. Sofij. Univ., Mat. Fak. 66 (1974), 287–306 (Russian).

[4] Kirchev, K. P., Zolotarev, V. A.: **Nonstationary curves in Hilbert spaces and their correlation functions I**. Integral Equations Operator Theory 19 (1994), 270–289. MR 1280124

[5] Kirchev, K. P., Zolotarev, V. A.: **Nonstationary curves in Hilbert spaces and their correlation functions II**. Integral Equations Operator Theory 19 (1994), 447–457. MR 1285492

[6] Livshits, M. S., Yantsevich, A. A.: **Theory of operator colligation in Hilbert space**. Engl. transl. J. Wiley, N.Y. 1979. MR 0634097

[7] Zolotarev, V. A.: **On open systems and characteristic functions of commuting operator systems**. VINITI 857-79, 1-37 (Russian).