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Bibliography
P. Bougerol and J. Lacroix, Products of Random Matrices with Applications to Schrödinger Operators, Birkhaüser, Boston, 1985.
J.E. Cohen, H. Kesten, and C.M. Newman (Eds.), Random Matrices and Their Applications, Contemporary Math., Vol. 50, A.M.S., Providence, 1986.
R. E. Collin, Foundations for Microwave Engineering, McGraw-Hill, N.Y., 1966.
N. Dunford and J.T. Schwartz, Linear Operators, Vol. II, Wiley-Interscience, N.Y., 1963.
H. Dym and H.P. McKean, Fourier Series and Integrals, Academic, N.Y., 1972.
W. Feller, Introduction to Probability Theory and its Applications, Vol. II, Wiley, N.Y., 1966.
M.E. Gertsenshtein and V.B. Vasil'ev, Waveguides with random inhomogeneities and Brownian motion in the Lobachevsky plane, Theory of Probability and its Applications, 4 (1959), 391–398.
S. Helgason, Lie groups and symmetric spaces, in C.M. DeWitt and J.A. Wheeler (Eds.), Battelle Rencontres, Benjamin, N.Y., 1968, pp. 1–71.
S. Helgason, Groups and Geometric Analysis, Academic, N.Y., 1984.
J.W. Helton, Non-Euclidean functional analysis and electronics, Bull. A.M.S., 7 (1982), 1–64.
H. Heyer, An application of the method of moments to the central limit theorem, Lecture Notes in Math., Vol. 861, Springer-Verlag, N.Y., 1981, pp. 65–73.
A.J. James, Special functions of matrix and single argument in statistics, in R. Askey (Ed.), Theory and Applications of Special Functions, Academic, N.Y., 1975, pp. 497–520.
F.I. Karpelevich, V.N. Tutubalin, and M.G. Shur, Limit theorems for the compositions of distributions in the Lobachevsky plane and space, Theory of Probability and its Applications, 4 (1959), 399–402.
J.F.C. Kingman, Random walks with spherical symmetry, Acta Math., 109 (1963), 11–53.
H.B. Kushner, The linearization of the product of two zonal polynomials, SIAM J. Math. Anal., 19 (1988), 687–717.
H. Maass, Siegel's Modular Forms and Dirichlet Series, Lecture Notes in Math., Vol. 216, Springer-Verlag, N.Y., 1971.
R.J. Muirhead, Aspects of Multivariate Statistical Theory, Wiley, N.Y., 1978.
G.C. Papanicolaou, Wave propagation in a one-dimensional random medium, SIAM J. Appl. Math., 21 (1971), 13–18.
D. St. P. Richards, The central limit theorem on spaces of positive definite matrices, to appear in J. Multivariate Analysis.
A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc., 20 (1956), 47–87.
A. Terras, Harmonic Analysis on Symmetric Spaces and Applications, Vols. I, II, Springer-Verlag, N.Y., 1985, 1988.
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Terras, A. (1989). The central limit theorem for the symmetric space of GL(3). In: Heyer, H. (eds) Probability Measures on Groups IX. Lecture Notes in Mathematics, vol 1379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087862
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DOI: https://doi.org/10.1007/BFb0087862
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