Inverse Sturm-Liouville Problems

B. M. Levitan

Published by De Gruyter 1987

Inverse Sturm-Liouville Problems

B. M. Levitan

https://doi.org/10.1515/9783110941937

Contents

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
Preface Requires Authentication Unlicensed Licensed Download PDF	IX
Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 1. transformation operators Requires Authentication Unlicensed Licensed Download PDF	4
Chapter 2. inverse sturm-liouville problem on the half-line: determining the sturm-liouville operator from spectral function Requires Authentication Unlicensed Licensed Download PDF	24
Chapter 3. determining the regular sturm-liouville operator from two spectra Requires Authentication Unlicensed Licensed Download PDF	64
Chapter 4. the inverse problem of the quantum scattering theory Requires Authentication Unlicensed Licensed Download PDF	75
Chapter 5. the inverse problem of the quantum scattering theory at fixed energy Requires Authentication Unlicensed Licensed Download PDF	105
Chapter 6. the inverse problem of the scattering theory on the whole line Requires Authentication Unlicensed Licensed Download PDF	121
Chapter 7. inverse sturm-liouville problem on the whole line from a spectral matrix function Requires Authentication Unlicensed Licensed Download PDF	152
Chapter 8. finite-zone potentials Requires Authentication Unlicensed Licensed Download PDF	161
Chapter 9. infinite-zone potentials Requires Authentication Unlicensed Licensed Download PDF	177
Chapter 10. quasi-periodicity of finite-zone potentials Requires Authentication Unlicensed Licensed Download PDF	190
Chapter 11. quasi-periodicity of infinite-zone potentials Requires Authentication Unlicensed Licensed Download PDF	196
Chapter 12. relation between the sturm-liouville and the kortewegde vries equation Requires Authentication Unlicensed Licensed Download PDF	213
References Requires Authentication Unlicensed Licensed Download PDF	236

Language: English
Publisher: De Gruyter
Edition: Reprint 2018
Pages
- Front matter: 10
- Main content: 240
Illustrations
- Other: Zahlr. Abb.
Keywords: Sturm-Liouvilles Eigenwertproblem; Differentialgleichung

eBook

Published: July 12, 2018
ISBN: 9783110941937

Hardcover

Published: December 1, 1987
ISBN: 9783110460315