Abstract
The asymptotic behavior in L p,where 1 ≤ p ≤ + ∞,of the spectral function of a perturbed discrete operator, defined on an n-dimensional compact manifold, is found.
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Literature Cited
V. V. Dubrovskii and A. V. Nagornyi, "On an estimate for the difference of spectral functions of discrete operators in L2," Vestn. Mosk. Univ., Ser. I, Mat. Mekh., No. 5, 44–47 (1988).
V. V. Dubrovskii, "On estimating the difference of spectral functions and on formulas for the regularized traces of discrete operators," Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 3, 46–50 (1987).
M. G. Gasymov, "On the sum of the differences of the eigenvalues of two self-adjoint operators," Dokl. Akad. Nauk SSSR,150, No. 6, 1202–1205 (1963).
Additional information
Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 16, pp. 182–185, 1992.
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Sadovnichii, V.A., Dubrovskii, V.V. & Nagornyi, A.V. The asymptotic behavior of the spectral function of an operator in Lp with discrete spectrum. J Math Sci 69, 1065–1067 (1994). https://doi.org/10.1007/BF01254391
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DOI: https://doi.org/10.1007/BF01254391