Sturm-Liouville Operators and Applications |
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| Author:
| Marchenko, Vladimir A. |
| Series title: | Chelsea Publications |
| ISBN: | 978-0-8218-5316-0 |
| Publication Date: | May 2011 |
| Publisher: | American Mathematical Society
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| Book Format: | Hardback |
| List Price: | AUD $87.00 |
Book Description:
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The spectral theory of Sturm-Liouville operators is a classical domain of analysis, comprising a wide variety of problems. Besides the basic results on the structure of the spectrum and the eigenfunction expansion of regular and singular Sturm-Liouville problems, it is in this domain that one-dimensional quantum scattering theory, inverse spectral problems, and the surprising connections of the theory with nonlinear evolution equations first become related. The main goal of this book...
More DescriptionThe spectral theory of Sturm-Liouville operators is a classical domain of analysis, comprising a wide variety of problems. Besides the basic results on the structure of the spectrum and the eigenfunction expansion of regular and singular Sturm-Liouville problems, it is in this domain that one-dimensional quantum scattering theory, inverse spectral problems, and the surprising connections of the theory with nonlinear evolution equations first become related. The main goal of this book is to show what can be achieved with the aid of transformation operators in spectral theory as well as in their applications.