UID:
almahu_9947367859002882
Format:
1 online resource (469 p.)
ISBN:
1-281-79752-9
,
9786611797522
,
0-08-087180-1
Series Statement:
North-Holland mathematics studies ; 69
Content:
Transmutation, Scattering Theory and Special Functions
Note:
Includes index.
,
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 IIICHAPTER 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
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2. The one dimensional problem in geophysics I3. 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
,
English
Additional Edition:
ISBN 0-444-86426-1
Language:
English
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