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Literature cited
A. Ya. Povzner, “On expansion of arbitrary functions in eigenfunctions of the operator — Δu + cu,” Mat. Sb.,32, No. 1 (1953).
Yu. M. Berezanskii, Expansion in Eigenfunctions of Self-Adjoint Operators [in Russian], Naukova Dumka, Kiev (1965).
Yu. B. Orochko, “Uniqueness theorem for self-adjoint extension of Schrödinger operator with potential operator,” Dop. Akad. Nauk URSR, No. 11 (1966).
A. A. Chutmak, “Self-adjointness of Beltrami-Laplace operator on a complete Riemann manifold without edge,” Ukr. Mat. Zh.,25, No. 6 (1973).
Yu. M. Berezanskii, “Self-adjointness of elliptic operators with singular potential,” Ukr. Mat. Zh.,26, No. 5 (1974).
H. O. Cordes, “Self-adjointness of powers of elliptic operators on noncompact manifolds,” Mat. Ann.,195, 257–272 (1972).
P. R. Chernoff, “Essential self-adjointness of powers of generators of hyperbolic equations,” J. Funct. Anal.,12, 401–414 (1973).
S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics [in Russian], Izd. LGU, Leningrad (1950).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 6, pp. 790–793, November–December, 1974.
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Berezanskii, Y.M. A remark on essential self-adjointness of powers of an operator. Ukr Math J 26, 647–649 (1974). https://doi.org/10.1007/BF01085257
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DOI: https://doi.org/10.1007/BF01085257