2010/01/01 by Paolo Facchi, Marilena Ligabò, Marilena Ligabò +4 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Mathematical Analysis and Transform Methods #advanced mathematical theories #math-ph #math.MP #msc:44A12 #msc:53C65 #msc:65R10
paper · pdf · doi:10.1063/1.3479322
published as AIP Conference Proceedings 1260 (2010) 3-34 · 32 pages, 9 figures
openalex publication_date 2010/01/01 · arxiv created 2010/01/28 · arxiv updated 2010/11/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
We present here a set of lecture notes on tomography. The Radon transform and some of its generalizations are considered and their inversion formulae are proved. We will also look from a group‐theoretc point of view at the more general problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Finally, the extension of the tomographic maps to the quantum case is considered, as a Weyl‐Wigner quantization of the classical case.