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A remark concerning the theory of scattering for a perturbed polyharmonic operator

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Abstract

Let R0 and R be resolvents of the operators (−δ)l and (−δ)l+q acting in L2(Em). We study the problem of the belonging of the operator RP−R p0 to various symmetrically-normed ideals of the ring of bounded operators. We give applications to the theory of scattering.

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Literature cited

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Authors and Affiliations

  1. A. A. Zhdanov Leningrad State University, USSR

    D. R. Yafaev

Authors
  1. D. R. Yafaev
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Additional information

Translated from Matematicheskie Zametki, Vol. 15, No. 3, pp. 445–454, March, 1974.

The author expresses his thanks to M. Sh. Birman for his valuable advice.

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Yafaev, D.R. A remark concerning the theory of scattering for a perturbed polyharmonic operator. Mathematical Notes of the Academy of Sciences of the USSR 15, 260–265 (1974). https://doi.org/10.1007/BF01438381

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  • DOI: https://doi.org/10.1007/BF01438381

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