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Sturm-liouville Operators And Applications (operator Theory: Advances And Applications) by Vladimir A. Marchenko is a nonfiction available to read on EtoBox.
What is Sturm-liouville Operators And Applications (operator Theory: Advances And Applications) about?
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 a
Who reads Sturm-liouville Operators And Applications (operator Theory: Advances And Applications)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Vladimir A. Marchenko
- Publisher
- Birkhäuser Verlag
- Published
- 1986
- Language
- EN
- ISBN
- 9783764317942
- Category
- nonfiction
- Subjects
- Social Science, Sociology, Mathematics
Other editions & translations
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