References
V. Guillemin, Adv. Math. 27, 273–286 (1978).
V. Guillemin, Adv. Math. 28, 12–137 (1978).
V. Guillemin, Adv. Math. 28, 138–147 (1978).
V. Guillemin, Adv. Math. 42, 248–282 (1981).
T. Kato, Perturbation Theory for Linear Operators (Springer, Berlin, 1966; Mir, Moscow, 1972).
H. Widom, Adv. Math. 31, 63–66 (1979).
V. A. Sadovnichii and V. V. Dubrovskii, Dokl. Akad. Nauk SSSR 319, 61–62 (1991).
V. E. Podol’skii, Mat. Zametki 56(1), 71–77 (1994).
A. N. Bobrov and V. E. Podol’skii, Mat. Sb. 190(10), 3–16 (1999).
V. E. Podol’skii, Rus. J. Math. Phys. 4(1), 123–130 (1996).
A. N. Bobrov, Dokl. Math. 60, 170–172 (1999) [Dokl. Akad. Nauk 368 (2), 154–156 (1999)].
A. V. Bolsinov and A. T. Fomenko, Integrable Hamiltonian Systems. Geometry, Topology, Classification (Udmurtskii Univ., Izhevsk, 1999), Vol. 2 [in Russian].
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Original Russian Text © T.V. Zykova, 2011, published in Doklady Akademii Nauk, 2011, Vol. 437, No. 5, pp. 590–591.
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Zykova, T.V. The regularized trace of the perturbed Laplace-Beltrami operator on a certain family of manifolds. Dokl. Math. 83, 225–226 (2011). https://doi.org/10.1134/S1064562411020360
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DOI: https://doi.org/10.1134/S1064562411020360