Literature cited
H. H. Schäfer, Topological Vector Spaces, MacMillan, New York (1966).
A. A. Kirillov, “Unitary representations of nilpotent Lie groups,” Usp, Mat. Nauk,17, No. 4, 57–110 (1962).
V. L. Ostrovskii, “An analog of Nelson's theorem for nuclear nilpotent Lie algebras of currents,” in: Spectral Theory of Operators and Infinite-Dimensional Analysis [in Russian], Inst. Mat. Akad. Nauk UkrSSR, Kiev (1984), pp. 120–131.
A. Pietsch, Nuclear Locally Convex Spaces, Springer-Verlag, Berlin (1972).
R. A. Minlos, “Generalized stochastic processes and their extensions to a measure,” Tr. Mosk. Mat. Obshch.,8, 411–497 (1959).
I. M. Gel'fand and N. Ya. Vilenkin, Applications of Harmonic Analysis, Academic Press, New York (1964).
A. Weil, L'integration dans les groupes topologiques et ses applications, Hermann, Paris (1951).
P. Richter, Unitary Representation of Countable Infinite Dimensional Lie Groups, Karl Marx Univ., Leipzig (1977).
Yu. S. Samoilenko, Spectral Theory of Families of Self-Adjoint Operators [in Russian], Naukova Dumka, Kiev (1984).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 2, pp. 255–259, March–April, 1986.
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Ostrovskii, V.L. Irreducible representations of the group of infinite upper triangular matrices. Ukr Math J 38, 226–229 (1986). https://doi.org/10.1007/BF01058493
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DOI: https://doi.org/10.1007/BF01058493