مسائل معکوس استورم-لیوویل ۲۰۱۸
Inverse Sturm-Liouville Problems 2018

1. Contents

2. Preface

3. Introduction

4. Chapter 1. transformation operators

5. Chapter 2. inverse sturm-liouville problem on the half-line: determining the sturm-liouville operator from spectral function

6. Chapter 3. determining the regular sturm-liouville operator from two spectra

7. Chapter 4. the inverse problem of the quantum scattering theory

8. Chapter 5. the inverse problem of the quantum scattering theory at fixed energy

9. Chapter 6. the inverse problem of the scattering theory on the whole line

10. Chapter 7. inverse sturm-liouville problem on the whole line from a spectral matrix function

11. Chapter 8. finite-zone potentials

12. Chapter 9. infinite-zone potentials

13. Chapter 10. quasi-periodicity of finite-zone potentials

14. Chapter 11. quasi-periodicity of infinite-zone potentials

15. Chapter 12. relation between the sturm-liouville and the kortewegde vries equation

16. References