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Levinson formula for perturbed Hill operator

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Literature Cited

  1. N. E. Firsova, Zap. Nauchn. Semin. LOMI,51, 183 (1975).

    Google Scholar 

  2. N. E. Firsova, “Trace formula for a perturbed Schrödinger operator with periodic potential,” Diploma Thesis [in Russian], Leningrad State University (1971).

  3. N. E. Firsova, Problemy Matem. Fiziki (LGU) No. 7, 162 (1974).

    Google Scholar 

  4. N. E. Firsova, Problemy Matem. Fiziki (LGU), No. 8, 158 (1976).

    Google Scholar 

  5. M. Sh. Birman, Mat. Sb.,55, 125 (1961).

    Google Scholar 

  6. F. S. Rofe-Beketov, Dokl. Akad. Nauk SSSR,156, 515 (1964).

    Google Scholar 

  7. V. A. Marchenko and I. V. Ostrovskii, Mat. Sb.,97, 540 (1975).

    Google Scholar 

  8. V. A. Zheludev, Problemy Matem. Fiziki (LGU), No. 4, 61 (1970).

    Google Scholar 

  9. F. S. Rofe-Beketov, Matem. Fizika i Funkts. Analiz (Khar'kov), No. 19, 158 (1973).

    Google Scholar 

  10. N. E. Firsova, Matem. Zametki,36, No. 5 (1984).

  11. N. E. Firsova, Matem. Zametki,18, 831 (1975).

    Google Scholar 

  12. R. G. Newton, J. Math. Phys.,21, 493 (1980).

    Google Scholar 

  13. R. G. Newton, “Inverse scattering by a local impurity in a periodic potential in one dimension,” Preprint IN 47405. Physics Department, Indiana University Bloomington (1982).

  14. E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Vol. 2, Clarendon Press, Oxford (1948).

    Google Scholar 

  15. N. E. Firsova, Vestn. Leningr. Univ. Ser. Fiz., No. 10/2, 13 (1979).

    Google Scholar 

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  1. N. E. Firsova
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Additional information

Naval Electronics College. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 62, No. 2, pp. 196–209, February, 1985.

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Firsova, N.E. Levinson formula for perturbed Hill operator. Theor Math Phys 62, 130–140 (1985). https://doi.org/10.1007/BF01033522

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  • DOI: https://doi.org/10.1007/BF01033522

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