Geometric inverse problems [electronic resource] : with emphasis on two dimensions / Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann.
"This up-to-date treatment of recent developments in geometric inverse problems introduces graduate students and researchers to an exciting area of research. With an emphasis on the two-dimensional case, topics covered include geodesic X-ray transforms, boundary rigidity, tensor tomography, attenuat...
Main Authors: | |
---|---|
Language: | English |
Published: |
Cambridge ; New York, NY :
Cambridge University Press,
2023.
|
Series: | Cambridge studies in advanced mathematics,
204 |
Subjects: | |
Online Access: | |
Variant Title: |
Geometric Inverse Problems: With Emphasis on Two Dimensions |
Format: | Electronic eBook |
Contents:
- The Radon transform in the plane
- Radial sound speeds
- Geometric preliminaries
- The geodesic X-ray transform
- Regularity results for the transport equation
- Vertical Fourier analysis
- The X-ray transform in non-positive curvature
- Microlocal aspects, surjectivity of I*0
- Inversion formulas and range
- Tensor tomography
- Boundary rigidity
- The attenuated geodesic X-ray transform
- Non-Abelian X-ray transforms
- Non-Abelian X-ray transforms II
- Open problems and related topics.