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On the spectral estimates for the Schrödinger operator on ℤd, d ≽ 3

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For the discrete Schrödinger operator we obtain sharp estimates for the number of negative eigenvalues. Bibliography: 19 titles.

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References

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Authors and Affiliations

  1. Chalmers University of Technology, University of Gothenburg, S-412 96, Gothenburg, Sweden

    Grigori Rozenblum & Michael Solomyak

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  1. Grigori Rozenblum
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  2. Michael Solomyak
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Correspondence to Grigori Rozenblum.

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To Nina N. Uraltseva, with admiration

Translated from Problemy Matematicheskogo Analiza, 41, May 2009, pp. 107–126.

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Rozenblum, G., Solomyak, M. On the spectral estimates for the Schrödinger operator on ℤd, d ≽ 3. J Math Sci 159, 241–263 (2009). https://doi.org/10.1007/s10958-009-9436-9

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  • DOI: https://doi.org/10.1007/s10958-009-9436-9

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