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References
Mackey G.W. Imprimitivity for representations of locally compact groups.-Proc. Natl. Acad. Sci. USA 35, No 4, 1949, 537–545.
Davies E.B. On repeated measurements of continuous observables in quantum mechanics.-J. Funct. Anal. 6, 1970, 318–346.
Poulsen N.K.S. Regularity aspects of infinite dimensional representations of Lie groups. MIT D.Phil.Thesis, 1970.
Neumann H. Transformation properties of observables.-Helv. Phys. Acta, 45, f. 5, 1972, 811–819.
Scutaru H. Coherent states and induced representations.-Lett. Math. Phys. 2, No 2, 1977, 101–107.
Cattaneo U. On Mackey's imprimitivity theorem.-Commun. Math. Helv. 54, No 4, 1979, 629–641.
Castrigiano D.P.L., Henrichs R.W. Systems of covariance and subrepresentations of induced representations.-Lett. Math. Phys. 4, 1980, 169–175.
Holevo A.S. Statistical desision theory for quantum systems.-J. Multiv. Anal. 3, No 4, 1973, 337–394.
Holevo A.S. Probabilistic and statistical aspects of quantum theory, (Translation from Russian), North Holland, Amsterdam, 1982.
Holevo A.S. Bounds for generalized uncertainty of measurements of a shift parameter.-IV USSR — Japan symp. on probab. theory and math. stat., v. I, Tbilisi, 1982, 257–258.
Holevo A.S. Generalized imptimitivity systems for abelian groups.-Izv. vuzov, Matematika, 1983, No 2 (249), 1–23 (Russian).
Bogomolov N.A., Holevo A.S. Resolutions of identity, covariant with respect to a representation of abelian locally compact group.-Publ. of Moscow State University, 1980. (Russian).
Dixmier J. Les C*-algebres et leurs representations. Gauthier-Villars, Paris, 1969.
Engelman F., Fick E. Quantentheorie der Zeitmessung.-Zs. Phys. B175, No 2, 1963, 271–282.
Olkhovsky V.S., Recami E., Gerasimchuk A.I. Time operator in quantum mechanics. I: Nonrelativistic case.-Nuovo Cim., 22A, No 2, 1974, 263–278.
Holevo A.S. Estimation of shift parameter of a quantum state.-13, No 3, 1978, 287–307.
Sakai S. C*-algebras and W*-algebras. Springer-Verlag, Berlin, 1971.
Holevo A.S. Studies in the general statistical decision theory.-Proc. Steklov Math. Inst. v. 124, 1976 (AMS translation — 1978).
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Holevo, A.S. (1984). Covariant measurements and imprimitivity systems. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071720
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DOI: https://doi.org/10.1007/BFb0071720
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