On the Inverse Scattering Problem for Jacobi Matrices with the Spectrum on an Interval , a Finite System of Intervals or a Cantor Set of Positive Length

@inproceedings{Yuditskii2002OnTI,
  title={On the Inverse Scattering Problem for Jacobi Matrices with the Spectrum on an Interval , a Finite System of Intervals or a Cantor Set of Positive Length},
  author={P. Yuditskii},
  year={2002}
}
Solving inverse scattering problem for a discrete Sturm–Liouville operator with a rapidly decreasing potential one gets reflection coefficients s± and invertible operators I + Hs± , where Hs± is the Hankel operator related to the symbol s±. The Marchenko– Faddeev theorem (in the continuous case) [6] and the Guseinov theorem (in the discrete case) [4], guarantees the uniqueness of solution of the inverse scattering problem. In this article we ask the following natural question — can one find a… CONTINUE READING
Highly Cited
This paper has 29 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 18 references

On matricial Nehari problems , Jinner matrix functions and the Muckenhoupt condition

  • D. Arov, H. Dym
  • J . Funct . Anal .
  • 2001

Almost periodic Jacobi matrices with homogeneous spectrum , infinite dimensional Jacobi inversion , and Hardy spaces of characterautomorphic functions

  • M. andYuditskii Sodin
  • Journ . of Geom . Analysis
  • 1997

Yuditskii, Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character–automorphic functions

  • P. M. Sodin
  • Journ. of Geom. Analysis
  • 1997
1 Excerpt

Direct and inverse scattering on the line

  • R. Beals, P. Deift, C. Tomei
  • Mathematical Surveys and Monographs , 28
  • 1988

Nonlinear equations and operator algebras

  • V. Marchenko
  • Translated from the Russian byV . I . Rublinetski…
  • 1988

Nonlinear equations and operator algebras, Translated from the Russian by V

  • V. Marchenko
  • I. Rublinetskĭı. Mathematics and its Applications…
  • 1988

Sturm–Liouville Operators and Applications, Birkhäuser, Basel

  • V. Marchenko
  • 1986
1 Excerpt

Hardy Classes on Infinitely Connected Riemann Surfaces, Lecture Notes in Math

  • M. Hasumi
  • 1027, Spinger Verlag, Berlin and New York,
  • 1983
1 Excerpt

Similar Papers

Loading similar papers…