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Tests for completeness of root subspaces of a differentiation operator with abstract boundary conditions

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Literature cited

  1. B. J. Levin, Distribution of Zeros of Entire Functions, Amer. Math. Soc. (1972).

  2. A. V. Kuzhel', “Spectral analysis of unbounded non-self-adjoint operators,” Dokl. Akad. Nauk SSSR,125, No. 1, 35–37 (1959).

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  3. N. K. Nikol'skii, “Invariant subspaces in the theory of operators and the theory of functions,” in: Mathematical Analysis, Itogi Nauki i Tekhniki, Ser. Mat.,12, 199–360 (1974).

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  4. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press (1966).

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Authors and Affiliations

  1. Simferopol State University, USSR

    G. M. Gubreev & A. I. Kovalenko

Authors
  1. G. M. Gubreev
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  2. A. I. Kovalenko
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Translated from Matematicheskie Zametki, Vol. 30, No. 4, pp. 543–552, October, 1981.

In conclusion, we express profound thanks to the referee for constructive criticism.

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Gubreev, G.M., Kovalenko, A.I. Tests for completeness of root subspaces of a differentiation operator with abstract boundary conditions. Mathematical Notes of the Academy of Sciences of the USSR 30, 765–770 (1981). https://doi.org/10.1007/BF01137805

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  • DOI: https://doi.org/10.1007/BF01137805

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