Transmutation, Scattering Theory and Special Functions
Published on 14. May 2014
468 pages
978-0-08-087180-6 (ISBN)
Description
Transmutation, Scattering Theory and Special Functions
More details
Series
Language
English
Place of publication
Amsterdam
Netherlands
Product notice
Windows
ISBN-13
978-0-08-087180-6 (9780080871806)
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Book
04/2000
North-Holland
€185.70
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Content
- Front Cover
- Transmutation, Scattering Theory and Special Functions
- Copyright Page
- TABLE OF CONTENTS
- PREFACE
- CHAPTER 1. PARSEVAL FORMULAS
- 1. Introduction
- 2. Quantum scattering theory
- 3. Sturm-LiouviIle problems
- 4. The generalized spectral function and Parseval formulas
- 5. Model singular problems I
- 6. Model singular problems II
- 7. Generalized translation for singular problems
- 8. Generalized translation and singular transmutation
- 9. Model singular transmutations
- 10. Canonical derivation of Parseval formulas
- 11. Canonical derivation of Parseval farmulas II
- 12. Canonical derivatian of Parseval formulas III
- CHAPTER 2. SPECIAL FUNCTIONS
- 1. Introduction
- 2. Model spherical transforms
- 3. Model spherical transforms II
- 4. General spherical transforms I
- 5. General spherical transforms II
- 6. Scattering theory revisited
- 7. Generalized Gelfand-Levitan equations
- 8. Triangularity and connection formulas
- 9. Further remarks on the Gelfand-Levitan and Marscnko equations
- 10. Further remarks on transforms
- 11. Singular pseudodifferential operators
- 12. Elliptic transmutation
- CHAPTER 3. INVERSE PROBLEMS
- 1. Introduction
- 2. The one dimensional problem in geophysics I
- 3. The one dimensional problem in geophysics II
- 4. The one dimensional problem in geophysics III
- 5. Same three dimensional problems in geophysics I
- 6. Three dimensional problems in geophysics II
- 7. Three dimensional problems in geophysics III
- 8. Other approaches to the one dimensional geophysical problem
- 9. One dimensional techniques
- 10. Singular analogies
- 11. Singular analogies II
- 12. Singular analogies III
- 13. Singular inverse problems
- REFERENCES
- INDEX
