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Inverse Scattering and Applications: (Contemporary Mathematics)

Inverse Scattering and Applications: (Contemporary Mathematics)


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About the Book

This book presents papers given at a Conference on Inverse Scattering on the Line, held in June 1990 at the University of Massachusetts, Amherst. A wide variety of topics in inverse problems were covered: inverse scattering problems on the line; inverse problems in higher dimensions; inverse conductivity problems; and numerical methods. In addition, problems from statistical physics were covered, including monodromy problems, quantum inverse scattering, and the Bethe ansatz. One of the aims of the conference was to bring together researchers in a variety of areas of inverse problems which have seen intensive activity in recent years. scattering.

Table of Contents:
Wiener-Hopf factorization in multidimensional inverse Schrodinger scattering by T. Aktosun and C. van der Mee Complete integrability of "Completely Integrable" systems by R. Beals and D. Sattinger On the determinant theme for tau functions, Grassmannians, and inverse scattering by R. Carroll An overview of inversion algorithms for impedance imaging by M. Cheney and D. Isaacson On the construction of integrable XXZ Heisenberg models with arbitrary spin by H. Frahm A geometric construction of solutions of matrix hierarchies by G. F. Helminck Lax pairs, recursion operators, and the perturbation of nonlinear evolution equations by R. Herman Time and temperature dependent correlation function of an impenetrable Bose gas field correlator in the impenetrable Bose gas by A. R. Its, A. G. Izergin, and V. E. Korepin Breathers and the sine-Gordon equation by S. Kichenassamy Localized solitons for the Ishimori equation by B. G. Konopelchenko and V. G. Dubrovsky Tau functions by J. Palmer Inverse problems in anisotropic media by J. Sylvester and G. Uhlmann The Toda shock problem by S. Venakides.


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Product Details
  • ISBN-13: 9780821851296
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • Weight: 273 gr
  • ISBN-10: 0821851292
  • Publisher Date: 01 Jan 1991
  • Binding: Paperback
  • Series Title: Contemporary Mathematics


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