Book contents
- Frontmatter
- Dedication
- Contents
- Foreword
- Preface
- Acknowledgements
- 1 The Radon Transform in the Plane
- 2 Radial Sound Speeds
- 3 Geometric Preliminaries
- 4 The Geodesic X-ray Transform
- 5 Regularity Results for the Transport Equation
- 6 Vertical Fourier Analysis
- 7 The X-ray Transform in Non-positive Curvature
- 8 Microlocal Aspects, Surjectivity of I0*
- 9 Inversion Formulas and Range
- 10 Tensor Tomography
- 11 Boundary Rigidity
- 12 The Attenuated Geodesic X-ray Transform
- 13 Non-Abelian X-ray Transforms
- 14 Non-Abelian X-ray Transforms II
- 15 Open Problems and Related Topics
- References
- Index
1 - The Radon Transform in the Plane
Published online by Cambridge University Press: 15 January 2023
- Frontmatter
- Dedication
- Contents
- Foreword
- Preface
- Acknowledgements
- 1 The Radon Transform in the Plane
- 2 Radial Sound Speeds
- 3 Geometric Preliminaries
- 4 The Geodesic X-ray Transform
- 5 Regularity Results for the Transport Equation
- 6 Vertical Fourier Analysis
- 7 The X-ray Transform in Non-positive Curvature
- 8 Microlocal Aspects, Surjectivity of I0*
- 9 Inversion Formulas and Range
- 10 Tensor Tomography
- 11 Boundary Rigidity
- 12 The Attenuated Geodesic X-ray Transform
- 13 Non-Abelian X-ray Transforms
- 14 Non-Abelian X-ray Transforms II
- 15 Open Problems and Related Topics
- References
- Index
Summary
- Type
- Chapter
- Information
- Geometric Inverse ProblemsWith Emphasis on Two Dimensions, pp. 1 - 24Publisher: Cambridge University PressPrint publication year: 2023