Transmutation Theory and Applications
Published on 14. May 2014
364 pages
978-0-08-087228-5 (ISBN)
Description
Transmutation Theory and Applications
More details
Series
Language
English
Place of publication
Amsterdam
Netherlands
Product notice
Windows
ISBN-13
978-0-08-087228-5 (9780080872285)
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Book
04/2000
North-Holland
€185.70
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Content
- Front Cover
- Transmutation Theory and Applications
- Copyright Page
- TABLE OF CONTENTS
- PREFACE
- CHAPTER 1. BACKGROUND MATERIAC AND BASIC IDEAS
- 1. Introcution
- 2. Distribution theory
- 3. Fourier analysis
- 4. Basic transmutations
- 5. Parseval formulas via transmutation and the generalised spectral function
- 6. Spectral theory in the energy variable
- 7. Spectral theory in the momentum variable
- 8. Classical spectral theory and relations in full line scattering
- 9. Indroduction to singular operators and special functions
- 10. Palye-Wiener theorms, spherical transforms, and Parseval formulas for singular operators
- 11. Explicit constructions of generalized translations and transmutations for singular operators
- 12. Canonical formulation of Parseval formulas and transforms
- CHAPTER 2. PATTERNS AND STRUCTURE
- 1. Indrodution
- 2. Spectral pairings for generalized translation and transmutation kernels
- 3. The general extended celfand-Levitan equation
- 4. Quantum scattering theory
- 5. The marcenko equation via transmutation
- 6. The marcenko eqution for fourier type operators.
- 7. minimization as a directive in characterizing transmutation kernels
- 8. Construction of transmutations for õ type operators
- 9. The Bergman-Gilbert (B-c) operator and generating functions
- 10.Orthogonal palynamials and transmutation
- 11. Relations between kernels and patentials
- CHAPTER 3. APPLICATIONS
- 1. Introduction
- 2. Probability theory and random pracesses
- 3. Linear stochastic estimation
- 4. Filtering and integral eqnations
- 5. Innavations and scattering
- 6. Transmutation and linear stachastic estimation
- 7. Random fields and singular operators
- 8. Geophysical inverse problems (reflection data)
- 9. Geophysical inverse problems (transmission data)
- 10. Same miscellaneous topics
- 11. Equations with operator coefficients
- REFERENCES
- INDEX
