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On localization of the spectrum of the problem with complex weight

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Abstract

The paper considers problems with complex weight for whose spectrum the classical asymptotic formula is not true.

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References

  1. J. D. Birkhoff, “Quantum mechanics and asymptotic series,” Bull. Amer. Math. Soc., 32, 681–700 (1933).

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  2. M. V. Fedoryuk, Asymptotic Methods for Linear Ordinary Differential Equations [in Russian], Nauka, Moscow (1983).

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  3. M. V. Fedoryuk, Asymptotics: Integrals and Series [in Russian], Nauka, Moscow (1987).

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Authors and Affiliations

  1. Department of Mathematics, Bashkir State University, Ufa, Russia

    Kh. K. Ishkin

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  1. Kh. K. Ishkin
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Correspondence to Kh. K. Ishkin.

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__________

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 5, pp. 49–64, 2006.

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Ishkin, K.K. On localization of the spectrum of the problem with complex weight. J Math Sci 150, 2488–2499 (2008). https://doi.org/10.1007/s10958-008-0147-4

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  • DOI: https://doi.org/10.1007/s10958-008-0147-4

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