STURM-LIOUVILLE OPERATORS AND APPLICATIONS (AMS CHELSEA PUBLISHING) BY VLADIMIR A. MARCHENKO DOWNLOAD EBOOK : STURM-LIOUVILLE OPERATORS AND APPLICATIONS (AMS
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If you get the printed book Sturm-Liouville Operators And Applications (AMS Chelsea Publishing) By Vladimir A. Marchenko in online book store, you may additionally locate the exact same issue. So, you must move store to store Sturm-Liouville Operators And Applications (AMS Chelsea Publishing) By Vladimir A. Marchenko and also search for the readily available there. Yet, it will not happen here. The book Sturm- Liouville Operators And Applications (AMS Chelsea Publishing) By Vladimir A. Marchenko that we will provide right here is the soft file principle. This is what make you could easily discover as well as get this Sturm-Liouville Operators And Applications (AMS Chelsea Publishing) By Vladimir A. Marchenko by reading this website. We offer you Sturm-Liouville Operators And Applications (AMS Chelsea Publishing) By Vladimir A. Marchenko the most effective product, always as well as always. Language Notes Text: English (translation) Original Language: Russian About the Author Vladimir A. Marchenko, Verkin Institute for Low Temperature Physics and Engineering, Kharkov, Ukraine
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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 is to show what can be achieved with the aid of transformation operators in spectral theory as well as in their applications. The main methods and results in this area (many of which are credited to the author) are for the first time examined from a unified point of view. The direct and inverse problems of spectral analysis and the inverse scattering problem are solved with the help of the transformation operators in both self-adjoint and nonself-adjoint cases. The asymptotic formulae for spectral functions, trace formulae, and the exact relation (in both directions) between the smoothness of potential and the asymptotics of eigenvalues (or the lengths of gaps in the spectrum) are obtained. Also, the applications of transformation operators and their generalizations to soliton theory (i.e., solving nonlinear equations of Korteweg-de Vries type) are considered. The new Chapter 5 is devoted to the stability of the inverse problem solutions. The estimation of the accuracy with which the potential of the Sturm-Liouville operator can be restored from the scattering data or the spectral function, if they are only known on a finite interval of a spectral parameter (i.e., on a finite interval of energy), is obtained. Sales Rank: #3391921 in Books Published on: 2011-04-27 Original language: English Dimensions: 10.00" h x 7.00" w x 1.00" l, 1.90 pounds Binding: Hardcover 393 pages Language Notes Text: English (translation) Original Language: Russian About the Author Vladimir A. Marchenko, Verkin Institute for Low Temperature Physics and Engineering, Kharkov, Ukraine Most helpful customer reviews See all customer reviews...
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