Literature cited
S. Kurepa, “A cosine functional equation in Hilbert space,” Can. J. Math.,12, 45–50 (1960).
Yu. M. Berezanskii, Self-Adjoint Operators in Spaces of Functions of Infinitely Many Variables [in Russian], Naukova Dumka, Kiev (1978).
Yu. M. Berezanskii, “Spectral representations of solutions of some classes of functional and differential equations,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 579–583 (1978).
Yu. M. Berezanskii and A. A. Kalyuzhnyi, “Representations of hypercomplex systems with a locally compact basis,” Ukr. Mat. Zh.,36, No. 4, 417–421 (1984).
E. Nelson, “Analytic vectors,” Ann. Math.,70, No. 3, 572–615 (1959).
M. G. Krein, “A general decomposition method of positive definite kernels into elementary products,” Dokl. Akad. Nauk SSSR,53, No. 1, 3–5 (1946).
O. V. Lopotko and I. I. Rudinskii, “Integral representation of evenly positive definite bounded functions of infinitely many variables,” Ukr. Mat. Zh.,34, No. 3, 378–380 (1982).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 12, pp.1664–1668, December, 1989.
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Rudinskii, I.I., Samoilenko, Y.S. Unbounded self-adjoint operators connected by algebraic relations. Ukr Math J 41, 1434–1438 (1989). https://doi.org/10.1007/BF01056113
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DOI: https://doi.org/10.1007/BF01056113