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Inverse Sturm-Liouville Problems
Boris Moiseevič Levitan
出版VSP, 1987
主題Mathematics / Differential Equations / General
ISBN97890676405589067640557
URLhttp://books.google.com.hk/books?id=VZPAyRmP8L8C&hl=&source=gbs_api
EBookSAMPLE
註釋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.