Abstract
Analytic reconstruction of a function defined in an affine space from data of its integrals along lines or rays is in focus of the paper. Basic tools are the Fourier transform of homogeneous distributions and a self-duality equation in integral geometry. Three dimensional case is of special interest.
Original language | English |
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Pages (from-to) | 947-960 |
Number of pages | 14 |
Journal | Journal of Fourier Analysis and Applications |
Volume | 20 |
Issue number | 5 |
DOIs | |
State | Published - Oct 2014 |
Keywords
- Completeness condition
- Duality
- Homogeneous distribution
- Ray transform
- Support theorem