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Inverse Scattering and Applications

Edited by: D.H. Sattinger
Available Formats:
Electronic ISBN: 978-0-8218-7710-4
Product Code: CONM/122.E
List Price: $52.00 MAA Member Price:$46.80
AMS Member Price: $41.60 Click above image for expanded view Inverse Scattering and Applications Edited by: D.H. Sattinger Available Formats:  Electronic ISBN: 978-0-8218-7710-4 Product Code: CONM/122.E  List Price:$52.00 MAA Member Price: $46.80 AMS Member Price:$41.60
• Book Details

Contemporary Mathematics
Volume: 1221991; 133 pp
MSC: Primary 34; 35; 00;

This book contains the proceedings of an AMS-IMS-SIAM Summer Institute on Inverse Scattering and Applications, held in Amherst, Massachusetts, in June 1990. The papers cover the current state of the art in inverse conductivity problems, applications of inverse scattering theory to integrable systems, three-dimensional inverse scattering, inverse monodromy problems, and nonlinear waves, among other topics. Intended for researchers working in inverse scattering theory, inverse conductance problems, and completely integrable systems, this book presents results by some of the major experts in the field.

• Articles
• Tuncay Aktosun and Cornelis van der Mee - Wiener-Hopf factorization in multidimensional inverse Schrödinger scattering [ MR 1135851 ]
• Richard Beals and David Sattinger - Complete integrability of “completely integrable” systems [ MR 1135852 ]
• Robert Carroll - On the determinant theme for tau functions, Grassmannians, and inverse scattering
• Margaret Cheney and David Isaacson - An overview of inversion algorithms for impedance imaging [ MR 1135853 ]
• Holger Frahm - On the construction of integrable $XXZ$ Heisenberg models with arbitrary spin [ MR 1135854 ]
• G. F. Helminck - A geometric construction of solutions of matrix hierarchies [ MR 1135855 ]
• Russell Herman - Lax pairs, recursion operators and the perturbation of nonlinear evolution equations [ MR 1135856 ]
• A. R. It·s, A. G. Izergin and V. E. Korepin - Time and temperature dependent correlation function of impenetrable Bose gas field correlator in the impenetrable Bose gas [ MR 1135857 ]
• Satyanad Kichenassamy - Breathers and the sine-Gordon equation [ MR 1135858 ]
• B. G. Konopel′chenko and V. G. Dubrovsky - Localized solitons for the Ishimori equation [ MR 1135859 ]
• John Palmer - Tau functions [ MR 1135860 ]
• John Sylvester and Gunther Uhlmann - Inverse problems in anisotropic media [ MR 1135861 ]
• Stephanos Venakides - The Toda shock problem [ MR 1135862 ]
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Volume: 1221991; 133 pp
MSC: Primary 34; 35; 00;

This book contains the proceedings of an AMS-IMS-SIAM Summer Institute on Inverse Scattering and Applications, held in Amherst, Massachusetts, in June 1990. The papers cover the current state of the art in inverse conductivity problems, applications of inverse scattering theory to integrable systems, three-dimensional inverse scattering, inverse monodromy problems, and nonlinear waves, among other topics. Intended for researchers working in inverse scattering theory, inverse conductance problems, and completely integrable systems, this book presents results by some of the major experts in the field.

• Articles
• Tuncay Aktosun and Cornelis van der Mee - Wiener-Hopf factorization in multidimensional inverse Schrödinger scattering [ MR 1135851 ]
• Richard Beals and David Sattinger - Complete integrability of “completely integrable” systems [ MR 1135852 ]
• Robert Carroll - On the determinant theme for tau functions, Grassmannians, and inverse scattering
• Margaret Cheney and David Isaacson - An overview of inversion algorithms for impedance imaging [ MR 1135853 ]
• Holger Frahm - On the construction of integrable $XXZ$ Heisenberg models with arbitrary spin [ MR 1135854 ]
• G. F. Helminck - A geometric construction of solutions of matrix hierarchies [ MR 1135855 ]
• Russell Herman - Lax pairs, recursion operators and the perturbation of nonlinear evolution equations [ MR 1135856 ]
• A. R. It·s, A. G. Izergin and V. E. Korepin - Time and temperature dependent correlation function of impenetrable Bose gas field correlator in the impenetrable Bose gas [ MR 1135857 ]
• Satyanad Kichenassamy - Breathers and the sine-Gordon equation [ MR 1135858 ]
• B. G. Konopel′chenko and V. G. Dubrovsky - Localized solitons for the Ishimori equation [ MR 1135859 ]
• John Palmer - Tau functions [ MR 1135860 ]
• John Sylvester and Gunther Uhlmann - Inverse problems in anisotropic media [ MR 1135861 ]
• Stephanos Venakides - The Toda shock problem [ MR 1135862 ]
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