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Completeness of the wave operators for uniformly propagative systems

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Literature cited

  1. C. H. Wilcox, “Wave operators and asymptotic solutions of wave propagation problems in classical physics,” Arch. Rat. Mech. Anal.,22, 37–78 (1966).

    Google Scholar 

  2. M. Sh. Birman, “Applications of the local existence criterion for wave operators,” Dokl. Akad. Nauk SSSR,185, No. 4 (1969).

  3. M. Sh. Birman, “Scattering problems for differential operators in connection with space perturbation,” Izv. Akad. Nauk SSSR, Ser. Matem.,35, No. 2 (1971).

  4. V. G. Deich, “Applications of the method of nuclear perturbations in scattering theory for a pair of spaces,” Izv. VUZov, Matematika (in press).

  5. A. L. Belopol'skii and M. Sh. Birman, “Existence of wave operators in scattering theory for a pair of spaces,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 5 (1968).

  6. M. Sh. Birman, “Criterion for the existence of complete wave operators in scattering theory for a pair of spaces,” in: Problems of Mathematical Physics [in Russian], No. 4, Izd. LGU, Leningrad (1970).

    Google Scholar 

  7. M. Sh. Birman, “Local existence criterion for wave operators,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 4 (1968).

  8. T. Kato, “Some results on potential scattering,” Proc. Conf. Functional Analysis and Related Topics, Tokyo (1969).

  9. S. T. Kuroda, “A stationary method of scattering, Rep. Internat. Congr. Mathematicians (1970).

  10. T. Kato and S. T. Kuroda, “Theory of simple scattering and eigenfunction expansions,” in: Functional Analysis and Related Fields, Springer (1970).

  11. V. G. Deich, “Stationary local method in scattering theory for a pair of spaces,” Dokl. Akad. Nauk SSSR,197, No. 6, (1971).

  12. V. G. Deich, “Stationary local method in scattering theory for a pair of spaces,” in: Problems of Mathematical Physics, No. 6 (in press).

  13. S. T. Kuroda, “An abstract stationary approach to perturbation of continuous spectra and scattering theory,” J. Analyse Math.,20, 57–117 (1967).

    Google Scholar 

  14. C. H. Wilcox, “Transient wave propagation in homogeneous anisotropic media,” Arch. Rat. Mech. Anal.,37, 5 (1970).

    Google Scholar 

  15. S. T. Kuroda, “Some remarks on scattering for Schrödinger operators,” J. Fac. Sci. Univ. Tokyo, Sec. 1A, 17 (1970).

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  1. V. G. Deich
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 22, pp. 36–46, 1971.

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Deich, V.G. Completeness of the wave operators for uniformly propagative systems. J Math Sci 2, 90–98 (1974). https://doi.org/10.1007/BF01099667

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