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Multiple completeness of root vectors of polynomial operator pencils corresponding to boundary-value problems on the semiaxis

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Literature Cited

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    M. G. Gasymov, "On the theory of polynomial operator pencils," Dokl. Akad. Nauk SSSR,199, No. 4, 747–750 (1971).

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    M. G. Gasymov, "The multiple completeness of a part of the eigen- and associated vectors of polynomial operator pencils," Izv. Akad. Nauk Arm. SSR, Mat.,6, Nos. 2–3, 131–147 (1971).

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    M. G. Krein and G. K. Langer, "Certain mathematical principles of the linear theory of damped vibrations of continua," in: Proceedings of the International Symposium on Applications of the Theory of Functions of a Complex Variable in Continuum Mechanics [in Russian], N. I. Mushelishvili, L. I. Sedov, and G. K. Mikhailov (eds.), (Proc. Int. Sympos., Tbilisi, 1963), Vol. II, Fluid and Gas Mechanics, Math. Methods, Nauka, Moscow (1965), pp. 283–322.

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    S. S. Mirzoev, "The double completeness of a part of the eigen- and associated vectors of polynomial operator pencils of fourth order," Izv. Akad. Nauk Azb. SSR, Ser. Fiz.-Tekh. Mat. Nauk, No. 6, 37–43 (1974).

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Additional information

Azerbaijan State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 17, No. 2, pp. 84–85, April–June, 1983.

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Mirzoev, S.S. Multiple completeness of root vectors of polynomial operator pencils corresponding to boundary-value problems on the semiaxis. Funct Anal Its Appl 17, 151–153 (1983). https://doi.org/10.1007/BF01083147

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Keywords

  • Functional Analysis
  • Root Vector
  • Operator Pencil
  • Polynomial Operator
  • Polynomial Operator Pencil