Inverse Sturm Liouville Problems
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Inverse Sturm-Liouville Problems
Author | : Boris Moiseevič Levitan |
Publisher | : VSP |
Total Pages | : 258 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 9789067640558 |
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The interest in inverse problems of spectral analysis has increased considerably in recent years due to the applications to important non-linear equations in mathematical physics. This monograph is devoted to the detailed theory of inverse problems and methods of their solution for the Sturm-Liouville case. Chapters 1--6 contain proofs which are, in many cases, very different from those known earlier. Chapters 4--6 are devoted to inverse problems of quantum scattering theory with attention being focused on physical applications. Chapters 7--11 are based on the author's recent research on the theory of finite- and infinite-zone potentials. A chapter discussing the applications to the Korteweg--de Vries problem is also included. This monograph is important reading for all researchers in the field of mathematics and physics.
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