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Number of Carleson sequences

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Abstract

This note is devoted to the refinement of a result of N. K. Nikol'skii and B. S. Pavlov (Ref. Zh. Mat. 1970, 6B678) describing the distribution of the discrete spectrum of a certain class of operators. Namely, one proves the following.

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Literature cited

  1. N. K. Nikol'skii and N. K. Pavlov, Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 1, 90–133 (1970).

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  2. S. A. Vinogradov and V. P. Khavin, Zap. Nauchn. Sem. Lenlngr. Otd. Mat. Inst.,47, 15–54 (1974).

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  3. I. Ts. Gokhberg (I. C. Gohberg) and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Amer. Math. Soc., Providence (1969).

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Authors
  1. V. I. Vasyunin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Mathematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 65, pp. 178–182, 1976.

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Vasyunin, V.I. Number of Carleson sequences. J Math Sci 16, 1171–1174 (1981). https://doi.org/10.1007/BF02427727

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  • DOI: https://doi.org/10.1007/BF02427727

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