Problem of search of the minimum of entropy in indeterminate extension problems
Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 2, pp. 61-64.

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D. Z. Arov; M. G. Krein. Problem of search of the minimum of entropy in indeterminate extension problems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 2, pp. 61-64. http://geodesic.mathdoc.fr/item/FAA_1981_15_2_a5/

[1] Gelfand I.M., Yaglom A.M., UMN, XII:1 (1957), 3–52 | DOI | MR

[2] Pinsker M.S., DAN SSSR, 121:1 (1958), 490–51 | MR

[3] Chover J., J. Math. and Mech., 10:6 (1961), 927–945 | MR | Zbl

[4] Rozanov Yu.A., UMN, XIII:2 (1958), 93–142 | MR

[5] Arov D.3., Sib. matem. zh., XVI:3 (1975), 440–463 | MR

[6] Krein M.G., Nudelman A.A., Problema momentov Markova i ekstremalnye zadachi, Nauka, M., 1973 | MR

[7] Kovalishina I.V., DAN Arm. SSR, IX:3 (1974), 129–135 | MR

[8] Ilmushkin G.M., Kand. dissertatsiya, Ulyanovsk, 1974

[9] Burg J.P., Ph. Thesis, Dept. of Geophysics, Stanford Un., 1975

[10] Haykin S. (ed), Non Linear Methods of Spectral Analysis, Springer-Verlag, Berlin, 1979 | MR | Zbl

[11] Dym H., Gohberg I., Integral Equations and Operator Theory, 2:4 (1979), 503–528 | DOI | MR | Zbl

[12] Sege G., Ortogonalnye mnogochleny, Fizmatgiz, M., 1962

[13] Krein M.G., DAN SSSR, 26:1 (1940), 17–22 | MR

[14] Krein M.G., DAN SSSR, 44:5 (1944), 191–195 | MR

[15] Dym H., McKean H.P., Gaussian Processes, Function Theory and the Inverse Spectral Problem, Acad. Press, New York, 1976 | MR | Zbl

[16] Dym H., Gohberg L., Integral Equations and Operator Theory, 3:2 (1980), 142–215 | DOI | MR

[17] Adamyan B.M., Apov D.3., Kpein M.G., Izv. AN Arm.SSR, VI:2–3 (1971), 87–112